104461291296 has 36 divisors (see below), whose sum is σ = 297061797942. Its totient is φ = 34820430336.

The previous prime is 104461291241. The next prime is 104461291309. The reversal of 104461291296 is 692192164401.

104461291296 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 612 + 9 + 1 + 29 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62918698896 + 41542592400 = 250836^2 + 203820^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×104461291296² (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 5 ways as a sum of consecutive naturals, for example, 181356121 + ... + 181356696.

Almost surely, 2^104461291296 is an apocalyptic number.

104461291296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

104461291296 is an abundant number, since it is smaller than the sum of its proper divisors (192600506646).

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

104461291296 is a wasteful number, since it uses less digits than its factorization.

104461291296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362712833 (or 362712822 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 104461291296 in words is "one hundred four billion, four hundred sixty-one million, two hundred ninety-one thousand, two hundred ninety-six".