20189568100 has 81 divisors (see below), whose sum is σ = 47484150273. Its totient is φ = 7447789440.

The previous prime is 20189568097. The next prime is 20189568143. The reversal of 20189568100 is 186598102.

The square root of 20189568100 is 142090.

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

It can be written as a sum of positive squares in 13 ways, for example, as 7463923236 + 12725644864 = 86394^2 + 112808^2 .

It is a super-2 number, since 2×20189568100² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18471154 + ... + 18472246.

Almost surely, 2^20189568100 is an apocalyptic number.

20189568100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20189568100 is the 142090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20189568100

20189568100 is an abundant number, since it is smaller than the sum of its proper divisors (27294582173).

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

20189568100 is a wasteful number, since it uses less digits than its factorization.

20189568100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2226 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 40.

It can be divided in two parts, 20189 and 568100, that added together give a square (588289 = 767²).

The spelling of 20189568100 in words is "twenty billion, one hundred eighty-nine million, five hundred sixty-eight thousand, one hundred".