110096064 has 224 divisors, whose sum is σ = 362712000. Its totient is φ = 32707584.

The previous prime is 110096057. The next prime is 110096069. The reversal of 110096064 is 460690011.

It is a super-2 number, since 2×110096064² = 24242286616584192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110096069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3796402 + ... + 3796430.

It is an arithmetic number, because the mean of its divisors is an integer number (1619250).

Almost surely, 2^110096064 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 110096064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181356000).

110096064 is an abundant number, since it is smaller than the sum of its proper divisors (252615936).

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

110096064 is an equidigital number, since it uses as much as digits as its factorization.

110096064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 110096064 is about 10492.6671537793. The cubic root of 110096064 is about 479.2814248070.

The spelling of 110096064 in words is "one hundred ten million, ninety-six thousand, sixty-four".