20572100 has 18 divisors (see below), whose sum is σ = 44641674. Its totient is φ = 8228800.

The previous prime is 20572099. The next prime is 20572121. The reversal of 20572100 is 127502.

It can be written as a sum of positive squares in 3 ways, for example, as 2611456 + 17960644 = 1616^2 + 4238^2 .

It is a super-2 number, since 2×20572100² = 846422596820000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102761 + ... + 102960.

It is an arithmetic number, because the mean of its divisors is an integer number (2480093).

Almost surely, 2^20572100 is an apocalyptic number.

20572100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20572100 is an abundant number, since it is smaller than the sum of its proper divisors (24069574).

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

20572100 is a wasteful number, since it uses less digits than its factorization.

20572100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205735 (or 205728 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 20572100 is about 4535.6476935494. The cubic root of 20572100 is about 274.0056652531.

Adding to 20572100 its reverse (127502), we get a palindrome (20699602).

The spelling of 20572100 in words is "twenty million, five hundred seventy-two thousand, one hundred".