104965657776 has 240 divisors, whose sum is σ = 353902348800. Its totient is φ = 28370829312.

The previous prime is 104965657747. The next prime is 104965657793. The reversal of 104965657776 is 677756569401.

104965657776 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 6 + 56 + 577 + 7 + 6 = 666.

It is a super-2 number, since 2×104965657776² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14724325 + ... + 14731451.

It is an arithmetic number, because the mean of its divisors is an integer number (1474593120).

Almost surely, 2^104965657776 is an apocalyptic number.

104965657776 is a gapful number since it is divisible by the number (16) 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 104965657776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176951174400).

104965657776 is an abundant number, since it is smaller than the sum of its proper divisors (248936691024).

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

104965657776 is a wasteful number, since it uses less digits than its factorization.

104965657776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7936 (or 7927 counting only the distinct ones).

The product of its (nonzero) digits is 66679200, while the sum is 63.

The spelling of 104965657776 in words is "one hundred four billion, nine hundred sixty-five million, six hundred fifty-seven thousand, seven hundred seventy-six".