110064416 has 96 divisors (see below), whose sum is σ = 284497920. Its totient is φ = 40608000.

The previous prime is 110064403. The next prime is 110064421. The reversal of 110064416 is 614460011.

110064416 = T₇₃ + T₇₄ + ... + T₈₇₀.

It is a super-2 number, since 2×110064416² = 24228351338842112, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110064391 and 110064400.

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 15 ways as a sum of consecutive naturals, for example, 45641 + ... + 47991.

It is an arithmetic number, because the mean of its divisors is an integer number (2963520).

Almost surely, 2^110064416 is an apocalyptic number.

110064416 is a gapful number since it is divisible by the number (16) 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 110064416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142248960).

110064416 is an abundant number, since it is smaller than the sum of its proper divisors (174433504).

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

110064416 is a wasteful number, since it uses less digits than its factorization.

110064416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 110064416 is about 10491.1589445590. The cubic root of 110064416 is about 479.2354959711.

The spelling of 110064416 in words is "one hundred ten million, sixty-four thousand, four hundred sixteen".