104151600 has 180 divisors, whose sum is σ = 413168496. Its totient is φ = 23800320.

The previous prime is 104151589. The next prime is 104151617. The reversal of 104151600 is 6151401.

104151600 is a `hidden beast` number, since 10 + 4 + 1 + 51 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23134 + ... + 27266.

Almost surely, 2^104151600 is an apocalyptic number.

104151600 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 104151600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206584248).

104151600 is an abundant number, since it is smaller than the sum of its proper divisors (309016896).

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

104151600 is a wasteful number, since it uses less digits than its factorization.

104151600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4164 (or 4150 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 104151600 is about 10205.4691219953. The cubic root of 104151600 is about 470.4953281048.

The spelling of 104151600 in words is "one hundred four million, one hundred fifty-one thousand, six hundred".