109453968 has 120 divisors (see below), whose sum is σ = 335811840. Its totient is φ = 33073920.

The previous prime is 109453961. The next prime is 109453979. The reversal of 109453968 is 869354901.

It is a happy number.

109453968 is a `hidden beast` number, since 109 + 4 + 539 + 6 + 8 = 666.

It is a super-2 number, since 2×109453968² = 23960342221890048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109453961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109953 + ... + 110943.

It is an arithmetic number, because the mean of its divisors is an integer number (2798432).

Almost surely, 2^109453968 is an apocalyptic number.

109453968 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 109453968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167905920).

109453968 is an abundant number, since it is smaller than the sum of its proper divisors (226357872).

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

109453968 is a wasteful number, since it uses less digits than its factorization.

109453968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 109453968 is about 10462.0250429828. The cubic root of 109453968 is about 478.3478616050.

The spelling of 109453968 in words is "one hundred nine million, four hundred fifty-three thousand, nine hundred sixty-eight".