109466064 has 60 divisors (see below), whose sum is σ = 313841892. Its totient is φ = 35596800.

The previous prime is 109466059. The next prime is 109466081. The reversal of 109466064 is 460664901.

109466064 is a `hidden beast` number, since 1 + 0 + 9 + 46 + 606 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24088464 + 85377600 = 4908^2 + 9240^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3367 + ... + 15174.

Almost surely, 2^109466064 is an apocalyptic number.

It is an amenable number.

109466064 is an abundant number, since it is smaller than the sum of its proper divisors (204375828).

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

109466064 is a wasteful number, since it uses less digits than its factorization.

109466064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18596 (or 18587 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 109466064 is about 10462.6031177714. The cubic root of 109466064 is about 478.3654820492.

The spelling of 109466064 in words is "one hundred nine million, four hundred sixty-six thousand, sixty-four".