104695234560 has 1280 divisors, whose sum is σ = 456752736000. Its totient is φ = 22889889792.

The previous prime is 104695234531. The next prime is 104695234591. The reversal of 104695234560 is 65432596401.

104695234560 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 9 + 52 + 34 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×104695234560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4551966709 + ... + 4551966731.

It is an arithmetic number, because the mean of its divisors is an integer number (356838075).

Almost surely, 2^104695234560 is an apocalyptic number.

104695234560 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 104695234560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228376368000).

104695234560 is an abundant number, since it is smaller than the sum of its proper divisors (352057501440).

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

104695234560 is an frugal number, since it uses more digits than its factorization.

104695234560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 104695234560 in words is "one hundred four billion, six hundred ninety-five million, two hundred thirty-four thousand, five hundred sixty".