104970995712 has 768 divisors, whose sum is σ = 369847296000. Its totient is φ = 29063577600.

The previous prime is 104970995683. The next prime is 104970995729. The reversal of 104970995712 is 217599079401.

104970995712 is a `hidden beast` number, since 1 + 0 + 497 + 0 + 99 + 57 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×104970995712² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 358262638 + ... + 358262930.

It is an arithmetic number, because the mean of its divisors is an integer number (481572000).

Almost surely, 2^104970995712 is an apocalyptic number.

104970995712 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 104970995712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184923648000).

104970995712 is an abundant number, since it is smaller than the sum of its proper divisors (264876300288).

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

104970995712 is a wasteful number, since it uses less digits than its factorization.

104970995712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 54.

The spelling of 104970995712 in words is "one hundred four billion, nine hundred seventy million, nine hundred ninety-five thousand, seven hundred twelve".