104976455565312 has 240 divisors, whose sum is σ = 303411442534200. Its totient is φ = 34975260868608.

The previous prime is 104976455565301. The next prime is 104976455565353. The reversal of 104976455565312 is 213565554679401.

104976455565312 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 7 + 6 + 4 + 55 + 565 + 3 + 12 = 666.

It is a super-2 number, since 2×104976455565312² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104976455565312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13226209408 + ... + 13226217344.

Almost surely, 2^{104976455565312} is an apocalyptic number.

104976455565312 is a gapful number since it is divisible by the number (12) 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 104976455565312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151705721267100).

104976455565312 is an abundant number, since it is smaller than the sum of its proper divisors (198434986968888).

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

104976455565312 is an frugal number, since it uses more digits than its factorization.

104976455565312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10784 (or 10745 counting only the distinct ones).

The product of its (nonzero) digits is 136080000, while the sum is 63.

The spelling of 104976455565312 in words is "one hundred four trillion, nine hundred seventy-six billion, four hundred fifty-five million, five hundred sixty-five thousand, three hundred twelve".