103753563664 has 15 divisors (see below), whose sum is σ = 201025025967. Its totient is φ = 51876137616.

The previous prime is 103753563659. The next prime is 103753563709. The reversal of 103753563664 is 466365357301.

The square root of 103753563664 is 322108.

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

103753563664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103753563664² (a number of 23 digits) contains 22 as substring.

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, 1248169 + ... + 1328695.

Almost surely, 2^103753563664 is an apocalyptic number.

103753563664 is the 322108-th square number.

It is an amenable number.

103753563664 is a deficient number, since it is larger than the sum of its proper divisors (97271462303).

103753563664 is an frugal number, since it uses more digits than its factorization.

103753563664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161062 (or 80529 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 49.

Multiplying 103753563664 by its sum of digits (49), we get a square (5083924619536 = 2254756²).

The spelling of 103753563664 in words is "one hundred three billion, seven hundred fifty-three million, five hundred sixty-three thousand, six hundred sixty-four".