110795664 has 180 divisors, whose sum is σ = 355859664. Its totient is φ = 29611008.

The previous prime is 110795627. The next prime is 110795701. The reversal of 110795664 is 466597011.

It is an interprime number because it is at equal distance from previous prime (110795627) and next prime (110795701).

It is a super-2 number, since 2×110795664² = 24551358322401792, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 679647 + ... + 679809.

Almost surely, 2^110795664 is an apocalyptic number.

110795664 is a gapful number since it is divisible by the number (14) 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 110795664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177929832).

110795664 is an abundant number, since it is smaller than the sum of its proper divisors (245064000).

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

110795664 is a wasteful number, since it uses less digits than its factorization.

110795664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 110795664 is about 10525.9519284481. The cubic root of 110795664 is about 480.2944720871.

The spelling of 110795664 in words is "one hundred ten million, seven hundred ninety-five thousand, six hundred sixty-four".