110065872 has 80 divisors (see below), whose sum is σ = 335470592. Its totient is φ = 30430080.

The previous prime is 110065849. The next prime is 110065897. The reversal of 110065872 is 278560011.

It is a super-2 number, since 2×110065872² = 24228992358240768, 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, 5133 + ... + 15699.

Almost surely, 2^110065872 is an apocalyptic number.

110065872 is a gapful number since it is divisible by the number (12) 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 110065872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167735296).

110065872 is an abundant number, since it is smaller than the sum of its proper divisors (225404720).

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

110065872 is a wasteful number, since it uses less digits than its factorization.

110065872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10616 (or 10610 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 110065872 is about 10491.2283360911. The cubic root of 110065872 is about 479.2376091693.

The spelling of 110065872 in words is "one hundred ten million, sixty-five thousand, eight hundred seventy-two".