110082064 has 45 divisors (see below), whose sum is σ = 221997789. Its totient is φ = 52879680.

The previous prime is 110082059. The next prime is 110082073. The reversal of 110082064 is 460280011.

The square root of 110082064 is 10492.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3579664 + 106502400 = 1892^2 + 10320^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1804594 + ... + 1804654.

Almost surely, 2^110082064 is an apocalyptic number.

110082064 is the 10492-nd square number.

It is an amenable number.

110082064 is an abundant number, since it is smaller than the sum of its proper divisors (111915725).

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

110082064 is an frugal number, since it uses more digits than its factorization.

110082064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The cubic root of 110082064 is about 479.2611085361.

The spelling of 110082064 in words is "one hundred ten million, eighty-two thousand, sixty-four".