110353968 has 80 divisors (see below), whose sum is σ = 318015360. Its totient is φ = 36638784.

The previous prime is 110353967. The next prime is 110353973. The reversal of 110353968 is 869353011.

It is a happy number.

110353968 is a `hidden beast` number, since 110 + 3 + 539 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110353967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201471 + ... + 202017.

It is an arithmetic number, because the mean of its divisors is an integer number (3975192).

Almost surely, 2^110353968 is an apocalyptic number.

110353968 is a gapful number since it is divisible by the number (18) 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 110353968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159007680).

110353968 is an abundant number, since it is smaller than the sum of its proper divisors (207661392).

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

110353968 is a wasteful number, since it uses less digits than its factorization.

110353968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 110353968 is about 10504.9496905030. The cubic root of 110353968 is about 479.6553776330.

The spelling of 110353968 in words is "one hundred ten million, three hundred fifty-three thousand, nine hundred sixty-eight".