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105025320 = 23325171312
BaseRepresentation
bin1100100001010…
…00111100101000
321022121211122200
412100220330220
5203341302240
614231020200
72413462161
oct620507450
9238554580
10105025320
1154314094
122b20a660
13189b2c7a
14dd3c768
159348930
hex6428f28

105025320 has 144 divisors (see below), whose sum is σ = 364190580. Its totient is φ = 26158080.

The previous prime is 105025309. The next prime is 105025357. The reversal of 105025320 is 23520501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 104407524 + 617796 = 10218^2 + 786^2 .

It is a super-2 number, since 2×1050253202 = 22060635682204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 105025293 and 105025302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 801655 + ... + 801785.

Almost surely, 2105025320 is an apocalyptic number.

105025320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105025320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182095290).

105025320 is an abundant number, since it is smaller than the sum of its proper divisors (259165260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105025320 is a wasteful number, since it uses less digits than its factorization.

105025320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 105025320 is about 10248.1861809786. The cubic root of 105025320 is about 471.8073162574.

Adding to 105025320 its reverse (23520501), we get a palindrome (128545821).

The spelling of 105025320 in words is "one hundred five million, twenty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 131 136 153 170 180 204 255 262 306 340 360 393 408 510 524 612 655 680 765 786 1020 1048 1179 1224 1310 1530 1572 1965 2040 2227 2358 2620 3060 3144 3930 4454 4716 5240 5895 6120 6681 7860 8908 9432 11135 11790 13362 15720 17161 17816 20043 22270 23580 26724 33405 34322 40086 44540 47160 51483 53448 66810 68644 80172 85805 89080 100215 102966 133620 137288 154449 160344 171610 200430 205932 257415 267240 291737 308898 343220 400860 411864 514830 583474 617796 686440 772245 801720 875211 1029660 1166948 1235592 1458685 1544490 1750422 2059320 2333896 2625633 2917370 3088980 3500844 4376055 5251266 5834740 6177960 7001688 8752110 10502532 11669480 13128165 17504220 21005064 26256330 35008440 52512660 105025320