110056064 has 32 divisors (see below), whose sum is σ = 221449140. Its totient is φ = 54476800.

The previous prime is 110056061. The next prime is 110056069. The reversal of 110056064 is 460650011.

It can be written as a sum of positive squares in 2 ways, for example, as 73960000 + 36096064 = 8600^2 + 6008^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×110056064² = 24224674446344192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (110056061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8672 + ... + 17184.

Almost surely, 2^110056064 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 110056064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110724570).

110056064 is an abundant number, since it is smaller than the sum of its proper divisors (111393076).

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

110056064 is an equidigital number, since it uses as much as digits as its factorization.

110056064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8628 (or 8616 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 110056064 is about 10490.7608875620. The cubic root of 110056064 is about 479.2233737483.

The spelling of 110056064 in words is "one hundred ten million, fifty-six thousand, sixty-four".