109132400 has 120 divisors (see below), whose sum is σ = 291897984. Its totient is φ = 38937600.

The previous prime is 109132399. The next prime is 109132411. The reversal of 109132400 is 4231901.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160862 + ... + 161538.

Almost surely, 2^109132400 is an apocalyptic number.

109132400 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 109132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145948992).

109132400 is an abundant number, since it is smaller than the sum of its proper divisors (182765584).

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

109132400 is a wasteful number, since it uses less digits than its factorization.

109132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 109132400 is about 10446.6453945752. The cubic root of 109132400 is about 477.8789513922.

The spelling of 109132400 in words is "one hundred nine million, one hundred thirty-two thousand, four hundred".