100056030792100 has 72 divisors (see below), whose sum is σ = 217872435849768. Its totient is φ = 39884019302400.

The previous prime is 100056030792079. The next prime is 100056030792127. The reversal of 100056030792100 is 1297030650001.

It can be written as a sum of positive squares in 12 ways, for example, as 8492107030884 + 91563923761216 = 2914122^2 + 9568904^2 .

It is a super-2 number, since 2×100056030792100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 787549782 + ... + 787676818.

It is an arithmetic number, because the mean of its divisors is an integer number (3026006053469).

Almost surely, 2^{100056030792100} is an apocalyptic number.

100056030792100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100056030792100 is an abundant number, since it is smaller than the sum of its proper divisors (117816405057668).

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

100056030792100 is a wasteful number, since it uses less digits than its factorization.

100056030792100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154225 (or 154218 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The spelling of 100056030792100 in words is "one hundred trillion, fifty-six billion, thirty million, seven hundred ninety-two thousand, one hundred".