103759765625 has 30 divisors (see below), whose sum is σ = 137329101558. Its totient is φ = 78125000000.

The previous prime is 103759765609. The next prime is 103759765651. The reversal of 103759765625 is 526567957301.

It can be written as a sum of positive squares in 15 ways, for example, as 83895963904 + 19863801721 = 289648^2 + 140939^2 .

It is not a de Polignac number, because 103759765625 - 2⁴ = 103759765609 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 5.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6103515617 + ... + 6103515633.

Almost surely, 2^103759765625 is an apocalyptic number.

It is an amenable number.

103759765625 is a deficient number, since it is larger than the sum of its proper divisors (33569335933).

103759765625 is an frugal number, since it uses more digits than its factorization.

103759765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 11907000, while the sum is 56.

The spelling of 103759765625 in words is "one hundred three billion, seven hundred fifty-nine million, seven hundred sixty-five thousand, six hundred twenty-five".