100056487974976 has 63 divisors (see below), whose sum is σ = 214999723996263. Its totient is φ = 46179437391360.

The previous prime is 100056487974853. The next prime is 100056487974977. The reversal of 100056487974976 is 679479784650001.

The square root of 100056487974976 is 10002824.

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

It can be written as a sum of positive squares in 4 ways, for example, as 10923553806400 + 89132934168576 = 3305080^2 + 9441024^2 .

It is a super-2 number, since 2×100056487974976² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100056487974899 and 100056487974908.

It is not an unprimeable number, because it can be changed into a prime (100056487974977) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1040245606 + ... + 1040341786.

Almost surely, 2^{100056487974976} is an apocalyptic number.

100056487974976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

100056487974976 is the 10002824-th square number.

It is an amenable number.

100056487974976 is an abundant number, since it is smaller than the sum of its proper divisors (114943236021287).

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

100056487974976 is an frugal number, since it uses more digits than its factorization.

100056487974976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192400 (or 96196 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 73.

The spelling of 100056487974976 in words is "one hundred trillion, fifty-six billion, four hundred eighty-seven million, nine hundred seventy-four thousand, nine hundred seventy-six".