100160064 has 105 divisors (see below), whose sum is σ = 299057187. Its totient is φ = 33146496.

The previous prime is 100160051. The next prime is 100160069. The reversal of 100160064 is 460061001.

The square root of 100160064 is 10008.

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

100160064 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 600 + 64 = 666.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100160069) 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 14 ways as a sum of consecutive naturals, for example, 720507 + ... + 720645.

Almost surely, 2^100160064 is an apocalyptic number.

100160064 is the 10008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100160064

100160064 is an abundant number, since it is smaller than the sum of its proper divisors (198897123).

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

100160064 is an frugal number, since it uses more digits than its factorization.

100160064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The cubic root of 100160064 is about 464.4064017706.

Multiplying 100160064 by its product of nonzero digits (144), we get a square (14423049216 = 120096²).

100160064 divided by its product of nonzero digits (144) gives a square (695556 = 834²).

The spelling of 100160064 in words is "one hundred million, one hundred sixty thousand, sixty-four".