83168792100 has 81 divisors (see below), whose sum is σ = 260715079443. Its totient is φ = 22176037440.

The previous prime is 83168792041. The next prime is 83168792111. The reversal of 83168792100 is 129786138.

The square root of 83168792100 is 288390.

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 25153325604 + 58015466496 = 158598^2 + 240864^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 26 ways as a sum of consecutive naturals, for example, 8646894 + ... + 8656506.

Almost surely, 2^83168792100 is an apocalyptic number.

83168792100 is the 288390-th square number.

It is an amenable number.

83168792100 is an abundant number, since it is smaller than the sum of its proper divisors (177546287343).

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

83168792100 is an equidigital number, since it uses as much as digits as its factorization.

83168792100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19246 (or 9623 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 83168792100 in words is "eighty-three billion, one hundred sixty-eight million, seven hundred ninety-two thousand, one hundred".