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106212260 = 225711174057
BaseRepresentation
bin1100101010010…
…10101110100100
321101212010211102
412111022232210
5204142243020
614312255232
72426534510
oct625125644
9241763742
10106212260
1154a54930
122b6a1518
131900a2bb
141016b140
1594d0475
hex654aba4

106212260 has 96 divisors (see below), whose sum is σ = 294513408. Its totient is φ = 31150080.

The previous prime is 106212221. The next prime is 106212269. The reversal of 106212260 is 62212601.

It is a happy number.

It is a super-2 number, since 2×1062122602 = 22562088348615200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (106212269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24152 + ... + 28208.

It is an arithmetic number, because the mean of its divisors is an integer number (3067848).

Almost surely, 2106212260 is an apocalyptic number.

106212260 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 106212260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147256704).

106212260 is an abundant number, since it is smaller than the sum of its proper divisors (188301148).

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

106212260 is a wasteful number, since it uses less digits than its factorization.

106212260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4101 (or 4099 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 106212260 is about 10305.9332425550. The cubic root of 106212260 is about 473.5780336723.

Adding to 106212260 its reverse (62212601), we get a palindrome (168424861).

The spelling of 106212260 in words is "one hundred six million, two hundred twelve thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 17 20 22 28 34 35 44 55 68 70 77 85 110 119 140 154 170 187 220 238 308 340 374 385 476 595 748 770 935 1190 1309 1540 1870 2380 2618 3740 4057 5236 6545 8114 13090 16228 20285 26180 28399 40570 44627 56798 68969 81140 89254 113596 137938 141995 178508 223135 275876 283990 312389 344845 446270 482783 567980 624778 689690 758659 892540 965566 1249556 1379380 1517318 1561945 1931132 2413915 3034636 3123890 3793295 4827830 5310613 6247780 7586590 9655660 10621226 15173180 21242452 26553065 53106130 106212260