164259984100 has 27 divisors (see below), whose sum is σ = 356452960507. Its totient is φ = 65702372480.

The previous prime is 164259984043. The next prime is 164259984127. The reversal of 164259984100 is 1489952461.

The square root of 164259984100 is 405290.

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

164259984100 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 26642727076 + 137617257024 = 163226^2 + 370968^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4032636 + ... + 4073164.

Almost surely, 2^164259984100 is an apocalyptic number.

164259984100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164259984100 is the 405290-th square number.

It is an amenable number.

164259984100 is an abundant number, since it is smaller than the sum of its proper divisors (192192976407).

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

164259984100 is an frugal number, since it uses more digits than its factorization.

164259984100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81072 (or 40536 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

Multiplying 164259984100 by its sum of digits (49), we get a square (8048739220900 = 2837030²).

The spelling of 164259984100 in words is "one hundred sixty-four billion, two hundred fifty-nine million, nine hundred eighty-four thousand, one hundred".