64160100 has 135 divisors (see below), whose sum is σ = 210344827. Its totient is φ = 16917120.

The previous prime is 64160077. The next prime is 64160113. The reversal of 64160100 is 106146.

The square root of 64160100 is 8010.

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

64160100 is a `hidden beast` number, since 64 + 1 + 601 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13351716 + 50808384 = 3654^2 + 7128^2 .

It is a tau number, because it is divible by the number of its divisors (135).

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

It is a Duffinian 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 44 ways as a sum of consecutive naturals, for example, 720856 + ... + 720944.

Almost surely, 2^64160100 is an apocalyptic number.

64160100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

64160100 is the 8010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64160100

64160100 is an abundant number, since it is smaller than the sum of its proper divisors (146184727).

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

64160100 is a wasteful number, since it uses less digits than its factorization.

64160100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 99 counting only the distinct ones).

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

The cubic root of 64160100 is about 400.3332639274. Note that the first 3 decimals are identical.

Multiplying 64160100 by its product of nonzero digits (144), we get a square (9239054400 = 96120²).

Adding to 64160100 its reverse (106146), we get a palindrome (64266246).

The spelling of 64160100 in words is "sixty-four million, one hundred sixty thousand, one hundred".