109656456 has 256 divisors, whose sum is σ = 367718400. Its totient is φ = 26459136.

The previous prime is 109656451. The next prime is 109656487. The reversal of 109656456 is 654656901.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (109656451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1858555 + ... + 1858613.

It is an arithmetic number, because the mean of its divisors is an integer number (1436400).

Almost surely, 2^109656456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109656456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183859200).

109656456 is an abundant number, since it is smaller than the sum of its proper divisors (258061944).

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

109656456 is a wasteful number, since it uses less digits than its factorization.

109656456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 109656456 is about 10471.6978566038. The cubic root of 109656456 is about 478.6426583897.

The spelling of 109656456 in words is "one hundred nine million, six hundred fifty-six thousand, four hundred fifty-six".