104758560 has 144 divisors (see below), whose sum is σ = 373149504. Its totient is φ = 26712576.

The previous prime is 104758541. The next prime is 104758613. The reversal of 104758560 is 65857401.

104758560 is a `hidden beast` number, since 1 + 0 + 47 + 58 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31539 + ... + 34701.

It is an arithmetic number, because the mean of its divisors is an integer number (2591316).

Almost surely, 2^104758560 is an apocalyptic number.

104758560 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 104758560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186574752).

104758560 is an abundant number, since it is smaller than the sum of its proper divisors (268390944).

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

104758560 is a wasteful number, since it uses less digits than its factorization.

104758560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3207 (or 3196 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 104758560 is about 10235.1629200516. The cubic root of 104758560 is about 471.4075205083.

The spelling of 104758560 in words is "one hundred four million, seven hundred fifty-eight thousand, five hundred sixty".