110719968 has 96 divisors (see below), whose sum is σ = 303077376. Its totient is φ = 35363328.

The previous prime is 110719949. The next prime is 110719993. The reversal of 110719968 is 869917011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×110719968² = 24517822627842048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238905 + ... + 239367.

It is an arithmetic number, because the mean of its divisors is an integer number (3157056).

Almost surely, 2^110719968 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 110719968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151538688).

110719968 is an abundant number, since it is smaller than the sum of its proper divisors (192357408).

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

110719968 is a wasteful number, since it uses less digits than its factorization.

With its successor (110719969) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (576).

110719968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 42.

The square root of 110719968 is about 10522.3556298008. The cubic root of 110719968 is about 480.1850675256.

The spelling of 110719968 in words is "one hundred ten million, seven hundred nineteen thousand, nine hundred sixty-eight".