100100920 has 32 divisors (see below), whose sum is σ = 226732320. Its totient is φ = 39772800.

The previous prime is 100100887. The next prime is 100100927. The reversal of 100100920 is 29001001.

It is a self number, because there is not a number n which added to its sum of digits gives 100100920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2247 + ... + 14326.

It is an arithmetic number, because the mean of its divisors is an integer number (7085385).

Almost surely, 2^100100920 is an apocalyptic number.

100100920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100920 is an abundant number, since it is smaller than the sum of its proper divisors (126631400).

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

100100920 is a wasteful number, since it uses less digits than its factorization.

100100920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16735 (or 16731 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 100100920 is about 10005.0447275362. The cubic root of 100100920 is about 464.3149739125.

Adding to 100100920 its reverse (29001001), we get a palindrome (129101921).

The spelling of 100100920 in words is "one hundred million, one hundred thousand, nine hundred twenty".