100928900 has 18 divisors (see below), whose sum is σ = 219015930. Its totient is φ = 40371520.

The previous prime is 100928897. The next prime is 100928909. The reversal of 100928900 is 9829001.

It can be written as a sum of positive squares in 3 ways, for example, as 5827396 + 95101504 = 2414^2 + 9752^2 .

It is not an unprimeable number, because it can be changed into a prime (100928909) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 504545 + ... + 504744.

Almost surely, 2^100928900 is an apocalyptic number.

100928900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100928900 is an abundant number, since it is smaller than the sum of its proper divisors (118087030).

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

100928900 is a wasteful number, since it uses less digits than its factorization.

100928900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009303 (or 1009296 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 100928900 is about 10046.3376411506. The cubic root of 100928900 is about 465.5916467859.

The spelling of 100928900 in words is "one hundred million, nine hundred twenty-eight thousand, nine hundred".