20972100 has 72 divisors (see below), whose sum is σ = 61871040. Its totient is φ = 5482880.

The previous prime is 20972099. The next prime is 20972111. The reversal of 20972100 is 127902.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15241 + ... + 16559.

It is an arithmetic number, because the mean of its divisors is an integer number (859320).

Almost surely, 2^20972100 is an apocalyptic number.

20972100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20972100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30935520).

20972100 is an abundant number, since it is smaller than the sum of its proper divisors (40898940).

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

20972100 is a wasteful number, since it uses less digits than its factorization.

20972100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 20972100 is about 4579.5305436256. The cubic root of 20972100 is about 275.7701825616.

The spelling of 20972100 in words is "twenty million, nine hundred seventy-two thousand, one hundred".