109190400 has 324 divisors, whose sum is σ = 404515776. Its totient is φ = 25907200.

The previous prime is 109190399. The next prime is 109190461. The reversal of 109190400 is 4091901.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2323177 + ... + 2323223.

Almost surely, 2^109190400 is an apocalyptic number.

109190400 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 109190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202257888).

109190400 is an abundant number, since it is smaller than the sum of its proper divisors (295325376).

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

109190400 is a wasteful number, since it uses less digits than its factorization.

109190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 109190400 is about 10449.4210365934. The cubic root of 109190400 is about 477.9635949702.

The spelling of 109190400 in words is "one hundred nine million, one hundred ninety thousand, four hundred".