109946256 has 160 divisors (see below), whose sum is σ = 347977728. Its totient is φ = 29230080.

The previous prime is 109946231. The next prime is 109946257. The reversal of 109946256 is 652649901.

It is a happy number.

It is a Smith number, since the sum of its digits (42) 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 (42).

It is not an unprimeable number, because it can be changed into a prime (109946257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316675 + ... + 317021.

Almost surely, 2^109946256 is an apocalyptic number.

109946256 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 109946256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173988864).

109946256 is an abundant number, since it is smaller than the sum of its proper divisors (238031472).

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

109946256 is a wasteful number, since it uses less digits than its factorization.

109946256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 109946256 is about 10485.5260240009. The cubic root of 109946256 is about 479.0639396401.

The spelling of 109946256 in words is "one hundred nine million, nine hundred forty-six thousand, two hundred fifty-six".