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105151230 = 23351912039
BaseRepresentation
bin1100100010001…
…11101011111110
321022212020101000
412101013223332
5203404314410
614233431130
72414525232
oct621075376
9238766330
10105151230
115439a748
122b26b4a6
1318a28382
14dd725c2
159370dc0
hex6447afe

105151230 has 64 divisors (see below), whose sum is σ = 282009600. Its totient is φ = 27879840.

The previous prime is 105151229. The next prime is 105151247. The reversal of 105151230 is 32151501.

It is a super-2 number, since 2×1051512302 = 22113562341025800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50551 + ... + 52589.

It is an arithmetic number, because the mean of its divisors is an integer number (4406400).

Almost surely, 2105151230 is an apocalyptic number.

105151230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105151230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141004800).

105151230 is an abundant number, since it is smaller than the sum of its proper divisors (176858370).

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

105151230 is a wasteful number, since it uses less digits than its factorization.

105151230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 105151230 is about 10254.3273792092. The cubic root of 105151230 is about 471.9957836212.

The spelling of 105151230 in words is "one hundred five million, one hundred fifty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 191 270 382 573 955 1146 1719 1910 2039 2865 3438 4078 5157 5730 6117 8595 10195 10314 12234 17190 18351 20390 25785 30585 36702 51570 55053 61170 91755 110106 183510 275265 389449 550530 778898 1168347 1947245 2336694 3505041 3894490 5841735 7010082 10515123 11683470 17525205 21030246 35050410 52575615 105151230