842925972100 has 27 divisors (see below), whose sum is σ = 1829169282661. Its totient is φ = 337166716400.

The previous prime is 842925972037. The next prime is 842925972113. The reversal of 842925972100 is 1279529248.

It is a happy number.

The square root of 842925972100 is 918110.

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

It can be written as a sum of positive squares in only one way, i.e., 303453349956 + 539472622144 = 550866^2 + 734488^2 .

It is a Duffinian number.

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, 9135195 + ... + 9227005.

Almost surely, 2^842925972100 is an apocalyptic number.

842925972100 is the 918110-th square number.

It is an amenable number.

842925972100 is an abundant number, since it is smaller than the sum of its proper divisors (986243310561).

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

842925972100 is an frugal number, since it uses more digits than its factorization.

842925972100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183636 (or 91818 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

Multiplying 842925972100 by its sum of digits (49), we get a square (41303372632900 = 6426770²).

The spelling of 842925972100 in words is "eight hundred forty-two billion, nine hundred twenty-five million, nine hundred seventy-two thousand, one hundred".