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104934960 = 243351337101
BaseRepresentation
bin1100100000100…
…10111000110000
321022110020201000
412100102320300
5203330404320
614225042000
72412634554
oct620227060
9238406630
10104934960
1154262209
122b186300
1318980ac0
14dd17864
15932bc90
hex6412e30

104934960 has 320 divisors, whose sum is σ = 403724160. Its totient is φ = 24883200.

The previous prime is 104934959. The next prime is 104934961. The reversal of 104934960 is 69439401.

It is an interprime number because it is at equal distance from previous prime (104934959) and next prime (104934961).

It is a super-2 number, since 2×1049349602 = 22022691660403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (104934961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1038910 + ... + 1039010.

It is an arithmetic number, because the mean of its divisors is an integer number (1261638).

Almost surely, 2104934960 is an apocalyptic number.

104934960 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 104934960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201862080).

104934960 is an abundant number, since it is smaller than the sum of its proper divisors (298789200).

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

104934960 is a wasteful number, since it uses less digits than its factorization.

104934960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 104934960 is about 10243.7766473113. The cubic root of 104934960 is about 471.6719687640.

The spelling of 104934960 in words is "one hundred four million, nine hundred thirty-four thousand, nine hundred sixty".