100205168704 has 21 divisors (see below), whose sum is σ = 198849657037. Its totient is φ = 50101318144.

The previous prime is 100205168699. The next prime is 100205168719. The reversal of 100205168704 is 407861502001.

The square root of 100205168704 is 316552.

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., 61977098304 + 38228070400 = 248952^2 + 195520^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

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 100205168704.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2512632 + ... + 2552200.

Almost surely, 2^100205168704 is an apocalyptic number.

100205168704 is the 316552-nd square number.

It is an amenable number.

100205168704 is a deficient number, since it is larger than the sum of its proper divisors (98644488333).

100205168704 is an frugal number, since it uses more digits than its factorization.

100205168704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79150 (or 39571 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The spelling of 100205168704 in words is "one hundred billion, two hundred five million, one hundred sixty-eight thousand, seven hundred four".