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106153260 = 22354737643
BaseRepresentation
bin1100101001111…
…00010100101100
321101202010220020
412110330110230
5204133401020
614311122140
72426200503
oct624742454
9241663806
10106153260
1154a14574
122b673350
1318cb94a5
141015383a
1594bcc40
hex653c52c

106153260 has 48 divisors (see below), whose sum is σ = 303561216. Its totient is φ = 27704512.

The previous prime is 106153249. The next prime is 106153279. The reversal of 106153260 is 62351601.

It is a super-2 number, since 2×1061532602 = 22537029217255200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106153260.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 16002 + ... + 21641.

It is an arithmetic number, because the mean of its divisors is an integer number (6324192).

Almost surely, 2106153260 is an apocalyptic number.

106153260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106153260 is an abundant number, since it is smaller than the sum of its proper divisors (197407956).

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

106153260 is a wasteful number, since it uses less digits than its factorization.

106153260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37702 (or 37700 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 106153260 is about 10303.0704161429. The cubic root of 106153260 is about 473.4903279176.

The spelling of 106153260 in words is "one hundred six million, one hundred fifty-three thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 37643 75286 112929 150572 188215 225858 376430 451716 564645 752860 1129290 1769221 2258580 3538442 5307663 7076884 8846105 10615326 17692210 21230652 26538315 35384420 53076630 106153260