164844120100 has 81 divisors (see below), whose sum is σ = 393293839953. Its totient is φ = 59927076000.

The previous prime is 164844120097. The next prime is 164844120163. The reversal of 164844120100 is 1021448461.

The square root of 164844120100 is 406010.

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

It can be written as a sum of positive squares in only one way, i.e., 59343883236 + 105500236864 = 243606^2 + 324808^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 44659255 + ... + 44662945.

Almost surely, 2^164844120100 is an apocalyptic number.

164844120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164844120100 is the 406010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164844120100

164844120100 is an abundant number, since it is smaller than the sum of its proper divisors (228449719853).

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

164844120100 is an equidigital number, since it uses as much as digits as its factorization.

164844120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7418 (or 3709 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

Adding to 164844120100 its reverse (1021448461), we get a palindrome (165865568561).

The spelling of 164844120100 in words is "one hundred sixty-four billion, eight hundred forty-four million, one hundred twenty thousand, one hundred".