100909100 has 72 divisors (see below), whose sum is σ = 225589728. Its totient is φ = 39168000.

The previous prime is 100909099. The next prime is 100909103. The reversal of 100909100 is 1909001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (100909103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 979649 + ... + 979751.

Almost surely, 2^100909100 is an apocalyptic number.

100909100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100909100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112794864).

100909100 is an abundant number, since it is smaller than the sum of its proper divisors (124680628).

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

100909100 is a wasteful number, since it uses less digits than its factorization.

100909100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 20.

The square root of 100909100 is about 10045.3521590833. The cubic root of 100909100 is about 465.5611985611.

Subtracting from 100909100 its reverse (1909001), we obtain a palindrome (99000099).

The spelling of 100909100 in words is "one hundred million, nine hundred nine thousand, one hundred".