107468574976 has 81 divisors (see below), whose sum is σ = 249625875639. Its totient is φ = 46042225152.

The previous prime is 107468574959. The next prime is 107468575007. The reversal of 107468574976 is 679475864701.

The square root of 107468574976 is 327824.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36714825 + ... + 36717751.

Almost surely, 2^107468574976 is an apocalyptic number.

107468574976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

107468574976 is the 327824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107468574976

107468574976 is an abundant number, since it is smaller than the sum of its proper divisors (142157300663).

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

107468574976 is an frugal number, since it uses more digits than its factorization.

107468574976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5884 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 64.

Multiplying 107468574976 by its sum of digits (64), we get a square (6877988798464 = 2622592²).

107468574976 divided by its sum of digits (64) gives a square (1679196484 = 40978²).

The spelling of 107468574976 in words is "one hundred seven billion, four hundred sixty-eight million, five hundred seventy-four thousand, nine hundred seventy-six".