83573028100 has 27 divisors (see below), whose sum is σ = 181359744447. Its totient is φ = 33428054880.

The previous prime is 83573028089. The next prime is 83573028127. The reversal of 83573028100 is 182037538.

The square root of 83573028100 is 289090.

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 27286414596 + 56286613504 = 165186^2 + 237248^2 .

It is a super-2 number, since 2×83573028100² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 83573028100.

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, 2876446 + ... + 2905354.

Almost surely, 2^83573028100 is an apocalyptic number.

83573028100 is the 289090-th square number.

It is an amenable number.

83573028100 is an abundant number, since it is smaller than the sum of its proper divisors (97786716347).

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

83573028100 is an frugal number, since it uses more digits than its factorization.

83573028100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57832 (or 28916 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 83573028100 in words is "eighty-three billion, five hundred seventy-three million, twenty-eight thousand, one hundred".