100111100 has 36 divisors (see below), whose sum is σ = 218480808. Its totient is φ = 39816000.

The previous prime is 100111087. The next prime is 100111127. The reversal of 100111100 is 1111001.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15335 + ... + 20865.

Almost surely, 2^100111100 is an apocalyptic number.

100111100 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 100111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109240404).

100111100 is an abundant number, since it is smaller than the sum of its proper divisors (118369708).

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

100111100 is a wasteful number, since it uses less digits than its factorization.

100111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5726 (or 5719 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

The square root of 100111100 is about 10005.5534579552. The cubic root of 100111100 is about 464.3307132491.

Adding to 100111100 its reverse (1111001), we get a palindrome (101222101).

Subtracting from 100111100 its reverse (1111001), we obtain a palindrome (99000099).

It can be divided in two parts, 10011 and 1100, that added together give a palindrome (11111).

The spelling of 100111100 in words is "one hundred million, one hundred eleven thousand, one hundred".