100009091920 has 40 divisors (see below), whose sum is σ = 246198856104. Its totient is φ = 37650481152.

The previous prime is 100009091887. The next prime is 100009091927. The reversal of 100009091920 is 29190900001.

It can be written as a sum of positive squares in 4 ways, for example, as 20802869824 + 79206222096 = 144232^2 + 281436^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100009091927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36766689 + ... + 36769408.

Almost surely, 2^100009091920 is an apocalyptic number.

100009091920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100009091920 is an abundant number, since it is smaller than the sum of its proper divisors (146189764184).

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

100009091920 is a wasteful number, since it uses less digits than its factorization.

100009091920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73536127 (or 73536121 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 31.

Adding to 100009091920 its reverse (29190900001), we get a palindrome (129199991921).

The spelling of 100009091920 in words is "one hundred billion, nine million, ninety-one thousand, nine hundred twenty".