101577338944 has 21 divisors (see below), whose sum is σ = 201572591647. Its totient is φ = 50787394624.

The previous prime is 101577338939. The next prime is 101577338953. The reversal of 101577338944 is 449833775101.

It is a happy number.

The square root of 101577338944 is 318712.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101577338891 and 101577338900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2529777 + ... + 2569615.

Almost surely, 2^101577338944 is an apocalyptic number.

101577338944 is the 318712-nd square number.

It is an amenable number.

101577338944 is a deficient number, since it is larger than the sum of its proper divisors (99995252703).

101577338944 is an frugal number, since it uses more digits than its factorization.

101577338944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79690 (or 39841 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 101577338944 in words is "one hundred one billion, five hundred seventy-seven million, three hundred thirty-eight thousand, nine hundred forty-four".