109128100 has 72 divisors (see below), whose sum is σ = 261733248. Its totient is φ = 39283200.

The previous prime is 109128079. The next prime is 109128119. The reversal of 109128100 is 1821901.

It is a super-2 number, since 2×109128100² = 23817884419220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37705 + ... + 40495.

It is an arithmetic number, because the mean of its divisors is an integer number (3635184).

Almost surely, 2^109128100 is an apocalyptic number.

109128100 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 109128100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130866624).

109128100 is an abundant number, since it is smaller than the sum of its proper divisors (152605148).

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

109128100 is a wasteful number, since it uses less digits than its factorization.

109128100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2845 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

The square root of 109128100 is about 10446.4395848538. The cubic root of 109128100 is about 477.8726748985.

The spelling of 109128100 in words is "one hundred nine million, one hundred twenty-eight thousand, one hundred".