100890100 has 18 divisors (see below), whose sum is σ = 218931734. Its totient is φ = 40356000.

The previous prime is 100890079. The next prime is 100890107. The reversal of 100890100 is 1098001.

It can be written as a sum of positive squares in 3 ways, for example, as 1648656 + 99241444 = 1284^2 + 9962^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100890107) 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, 504351 + ... + 504550.

Almost surely, 2^100890100 is an apocalyptic number.

100890100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100890100 is an abundant number, since it is smaller than the sum of its proper divisors (118041634).

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

100890100 is a wasteful number, since it uses less digits than its factorization.

100890100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008915 (or 1008908 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 100890100 is about 10044.4064035661. The cubic root of 100890100 is about 465.5319768226.

The spelling of 100890100 in words is "one hundred million, eight hundred ninety thousand, one hundred".