101511057664 has 27 divisors (see below), whose sum is σ = 202635763813. Its totient is φ = 50752979968.

The previous prime is 101511057649. The next prime is 101511057689. The reversal of 101511057664 is 466750115101.

The square root of 101511057664 is 318608.

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., 2281017600 + 99230040064 = 47760^2 + 315008^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5087772 + ... + 5107684.

Almost surely, 2^101511057664 is an apocalyptic number.

101511057664 is the 318608-th square number.

It is an amenable number.

101511057664 is a deficient number, since it is larger than the sum of its proper divisors (101124706149).

101511057664 is an frugal number, since it uses more digits than its factorization.

101511057664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39842 (or 19915 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 37.

The spelling of 101511057664 in words is "one hundred one billion, five hundred eleven million, fifty-seven thousand, six hundred sixty-four".