109915344 has 240 divisors, whose sum is σ = 401117184. Its totient is φ = 27244800.

The previous prime is 109915331. The next prime is 109915369. The reversal of 109915344 is 443519901.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 109915299 and 109915308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254809 + ... + 255239.

Almost surely, 2^109915344 is an apocalyptic number.

109915344 is a gapful number since it is divisible by the number (14) 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 109915344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200558592).

109915344 is an abundant number, since it is smaller than the sum of its proper divisors (291201840).

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

109915344 is a wasteful number, since it uses less digits than its factorization.

109915344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 109915344 is about 10484.0518884637. The cubic root of 109915344 is about 479.0190382700.

The spelling of 109915344 in words is "one hundred nine million, nine hundred fifteen thousand, three hundred forty-four".