10164172896900 has 243 divisors, whose sum is σ = 35022234129519. Its totient is φ = 2463786864000.

The previous prime is 10164172896863. The next prime is 10164172896901. The reversal of 10164172896900 is 969827146101.

The square root of 10164172896900 is 3188130.

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

10164172896900 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 6364106107524 + 3800066789376 = 2522718^2 + 1949376^2 .

It is a super-2 number, since 2×10164172896900² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10164172896901) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1052078070 + ... + 1052087730.

Almost surely, 2^{10164172896900} is an apocalyptic number.

10164172896900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10164172896900 is the 3188130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10164172896900

10164172896900 is an abundant number, since it is smaller than the sum of its proper divisors (24858061232619).

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

10164172896900 is an equidigital number, since it uses as much as digits as its factorization.

10164172896900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19364 (or 9682 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 10164172896900 in words is "ten trillion, one hundred sixty-four billion, one hundred seventy-two million, eight hundred ninety-six thousand, nine hundred".