83238020100 has 243 divisors, whose sum is σ = 267040241013. Its totient is φ = 21686719680.

The previous prime is 83238020081. The next prime is 83238020141. The reversal of 83238020100 is 102083238.

The square root of 83238020100 is 288510.

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

83238020100 is a `hidden beast` number, since 83 + 2 + 380 + 201 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29965687236 + 53272332864 = 173106^2 + 230808^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 510662619 + ... + 510662781.

Almost surely, 2^83238020100 is an apocalyptic number.

83238020100 is the 288510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83238020100

83238020100 is an abundant number, since it is smaller than the sum of its proper divisors (183802220913).

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

83238020100 is a wasteful number, since it uses less digits than its factorization.

83238020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Multiplying 83238020100 by its product of nonzero digits (2304), we get a square (191780398310400 = 13848480²).

The spelling of 83238020100 in words is "eighty-three billion, two hundred thirty-eight million, twenty thousand, one hundred".