109577856 has 64 divisors (see below), whose sum is σ = 292168800. Its totient is φ = 36387840.

The previous prime is 109577851. The next prime is 109577879. The reversal of 109577856 is 658775901.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (109577851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176715 + ... + 177333.

Almost surely, 2^109577856 is an apocalyptic number.

109577856 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 109577856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146084400).

109577856 is an abundant number, since it is smaller than the sum of its proper divisors (182590944).

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

109577856 is an equidigital number, since it uses as much as digits as its factorization.

109577856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 48.

The square root of 109577856 is about 10467.9442107799. The cubic root of 109577856 is about 478.5282699117.

The spelling of 109577856 in words is "one hundred nine million, five hundred seventy-seven thousand, eight hundred fifty-six".