100577145321 has 27 divisors (see below), whose sum is σ = 147784026117. Its totient is φ = 65914169760.

The previous prime is 100577145301. The next prime is 100577145379. The reversal of 100577145321 is 123541775001.

The square root of 100577145321 is 317139.

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

100577145321 is a `hidden beast` number, since 1 + 0 + 0 + 57 + 71 + 4 + 532 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37808858025 + 62768287296 = 194445^2 + 250536^2 .

It is not a de Polignac number, because 100577145321 - 2¹¹ = 100577143273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100577145301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 58035571 + ... + 58037303.

Almost surely, 2^100577145321 is an apocalyptic number.

100577145321 is the 317139-th square number.

100577145321 is the 158570-th centered octagonal number.

It is an amenable number.

100577145321 is a deficient number, since it is larger than the sum of its proper divisors (47206880796).

100577145321 is an frugal number, since it uses more digits than its factorization.

100577145321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3594 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

Multiplying 100577145321 by its sum of digits (36), we get a square (3620777231556 = 1902834²).

The spelling of 100577145321 in words is "one hundred billion, five hundred seventy-seven million, one hundred forty-five thousand, three hundred twenty-one".