101857385523364 has 27 divisors (see below), whose sum is σ = 178422864202947. Its totient is φ = 50879471922048.

The previous prime is 101857385523349. The next prime is 101857385523389. The reversal of 101857385523364 is 463325583758101.

The square root of 101857385523364 is 10092442.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9424543883364 + 92432841640000 = 3069942^2 + 9614200^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30055290582 + ... + 30055293970.

Almost surely, 2^{101857385523364} is an apocalyptic number.

101857385523364 is the 10092442-nd square number.

It is an amenable number.

101857385523364 is a deficient number, since it is larger than the sum of its proper divisors (76565478679583).

101857385523364 is an frugal number, since it uses more digits than its factorization.

101857385523364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9760 (or 4880 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 61.

The spelling of 101857385523364 in words is "one hundred one trillion, eight hundred fifty-seven billion, three hundred eighty-five million, five hundred twenty-three thousand, three hundred sixty-four".