10206632100 has 72 divisors (see below), whose sum is σ = 33749937088. Its totient is φ = 2332944000.

The previous prime is 10206632087. The next prime is 10206632101. The reversal of 10206632100 is 123660201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10206632101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2428051 + ... + 2432250.

Almost surely, 2^10206632100 is an apocalyptic number.

10206632100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10206632100 is an abundant number, since it is smaller than the sum of its proper divisors (23543304988).

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

10206632100 is a wasteful number, since it uses less digits than its factorization.

10206632100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4860325 (or 4860318 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The spelling of 10206632100 in words is "ten billion, two hundred six million, six hundred thirty-two thousand, one hundred".