164096100 has 243 divisors, whose sum is σ = 608295051. Its totient is φ = 36892800.

The previous prime is 164096089. The next prime is 164096131. The reversal of 164096100 is 1690461.

The square root of 164096100 is 12810.

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

164096100 is a `hidden beast` number, since 1 + 6 + 40 + 9 + 610 + 0 = 666.

164096100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 75585636 + 88510464 = 8694^2 + 9408^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2690070 + ... + 2690130.

Almost surely, 2^164096100 is an apocalyptic number.

164096100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164096100 is the 12810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164096100

164096100 is an abundant number, since it is smaller than the sum of its proper divisors (444198951).

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

164096100 is a wasteful number, since it uses less digits than its factorization.

164096100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The cubic root of 164096100 is about 547.4772618317.

Multiplying 164096100 by its product of nonzero digits (1296), we get a square (212668545600 = 461160²).

The spelling of 164096100 in words is "one hundred sixty-four million, ninety-six thousand, one hundred".