104696745984 has 156 divisors (see below), whose sum is σ = 303541717596. Its totient is φ = 34769534976.

The previous prime is 104696745973. The next prime is 104696745991. The reversal of 104696745984 is 489547696401.

104696745984 is a `hidden beast` number, since 1 + 0 + 46 + 9 + 67 + 459 + 84 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15099494400 + 89597251584 = 122880^2 + 299328^2 .

It is a super-2 number, since 2×104696745984² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10206202 + ... + 10216454.

It is an arithmetic number, because the mean of its divisors is an integer number (1945780241).

Almost surely, 2^104696745984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104696745984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151770858798).

104696745984 is an abundant number, since it is smaller than the sum of its proper divisors (198844971612).

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

104696745984 is a wasteful number, since it uses less digits than its factorization.

104696745984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10560 (or 10535 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 104696745984 in words is "one hundred four billion, six hundred ninety-six million, seven hundred forty-five thousand, nine hundred eighty-four".