109616640 has 160 divisors (see below), whose sum is σ = 400688640. Its totient is φ = 25042944.

The previous prime is 109616627. The next prime is 109616653. The reversal of 109616640 is 46616901.

It is an interprime number because it is at equal distance from previous prime (109616627) and next prime (109616653).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52741 + ... + 54779.

It is an arithmetic number, because the mean of its divisors is an integer number (2504304).

Almost surely, 2^109616640 is an apocalyptic number.

109616640 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 109616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200344320).

109616640 is an abundant number, since it is smaller than the sum of its proper divisors (291072000).

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

109616640 is an equidigital number, since it uses as much as digits as its factorization.

109616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 109616640 is about 10469.7965596281. The cubic root of 109616640 is about 478.5847200373.

The spelling of 109616640 in words is "one hundred nine million, six hundred sixteen thousand, six hundred forty".