10020766900 has 36 divisors (see below), whose sum is σ = 21751381260. Its totient is φ = 4007142400.

The previous prime is 10020766849. The next prime is 10020766901. The reversal of 10020766900 is 966702001.

It can be written as a sum of positive squares in 6 ways, for example, as 318122896 + 9702644004 = 17836^2 + 98502^2 .

It is a super-3 number, since 3×10020766900³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020766901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 386340 + ... + 411460.

It is an arithmetic number, because the mean of its divisors is an integer number (604205035).

Almost surely, 2^10020766900 is an apocalyptic number.

10020766900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020766900 is an abundant number, since it is smaller than the sum of its proper divisors (11730614360).

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

10020766900 is a wasteful number, since it uses less digits than its factorization.

10020766900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29124 (or 29117 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The spelling of 10020766900 in words is "ten billion, twenty million, seven hundred sixty-six thousand, nine hundred".