20081724100 has 81 divisors (see below), whose sum is σ = 44904181287. Its totient is φ = 7795183680.

The previous prime is 20081724073. The next prime is 20081724127. The reversal of 20081724100 is 142718002.

It is a happy number.

The square root of 20081724100 is 141710.

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

It is an interprime number because it is at equal distance from previous prime (20081724073) and next prime (20081724127).

It can be written as a sum of positive squares in 4 ways, for example, as 1906370244 + 18175353856 = 43662^2 + 134816^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 52432509 + ... + 52432891.

Almost surely, 2^20081724100 is an apocalyptic number.

20081724100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20081724100 is the 141710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20081724100

20081724100 is an abundant number, since it is smaller than the sum of its proper divisors (24822457187).

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

20081724100 is an equidigital number, since it uses as much as digits as its factorization.

20081724100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

Multiplying 20081724100 by its sum of digits (25), we get a square (502043102500 = 708550²).

20081724100 divided by its sum of digits (25) gives a square (803268964 = 28342²).

The spelling of 20081724100 in words is "twenty billion, eighty-one million, seven hundred twenty-four thousand, one hundred".