109540816 has 120 divisors (see below), whose sum is σ = 273107520. Its totient is φ = 41648640.

The previous prime is 109540813. The next prime is 109540819. The reversal of 109540816 is 618045901.

It is an interprime number because it is at equal distance from previous prime (109540813) and next prime (109540819).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109540813) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 799500 + ... + 799636.

It is an arithmetic number, because the mean of its divisors is an integer number (2275896).

Almost surely, 2^109540816 is an apocalyptic number.

109540816 is a gapful number since it is divisible by the number (16) 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 109540816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136553760).

109540816 is an abundant number, since it is smaller than the sum of its proper divisors (163566704).

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

109540816 is a wasteful number, since it uses less digits than its factorization.

109540816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 109540816 is about 10466.1748504408. The cubic root of 109540816 is about 478.4743457422.

The spelling of 109540816 in words is "one hundred nine million, five hundred forty thousand, eight hundred sixteen".