100100100 has 36 divisors (see below), whose sum is σ = 289623824. Its totient is φ = 26693280.

The previous prime is 100100089. The next prime is 100100107. The reversal of 100100100 is 1001001.

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

100100100 is a modest number, since divided by 100100 gives 100 as remainder.

It is not an unprimeable number, because it can be changed into a prime (100100107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166534 + ... + 167133.

Almost surely, 2^100100100 is an apocalyptic number.

100100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100100 is an abundant number, since it is smaller than the sum of its proper divisors (189523724).

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

100100100 is a wasteful number, since it uses less digits than its factorization.

100100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333684 (or 333677 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

The square root of 100100100 is about 10005.0037481252. The cubic root of 100100100 is about 464.3137060610.

Adding to 100100100 its reverse (1001001), we get a palindrome (101101101).

Subtracting from 100100100 its reverse (1001001), we obtain a palindrome (99099099).

Multiplying 100100100 by its reverse (1001001), we get a square (100200300200100 = 10010010²).

100100100 divided by its reverse (1001001) gives a square (100 = 10²).

The spelling of 100100100 in words is "one hundred million, one hundred thousand, one hundred".