103957880625 has 75 divisors (see below), whose sum is σ = 194192278423. Its totient is φ = 55405512000.

The previous prime is 103957880591. The next prime is 103957880629. The reversal of 103957880625 is 526088759301.

The square root of 103957880625 is 322425.

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

103957880625 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 5 + 7 + 8 + 8 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 44136547569 + 59821333056 = 210087^2 + 244584^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 103957880625 - 2²⁵ = 103924326193 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103957880629) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 72544909 + ... + 72546341.

Almost surely, 2^103957880625 is an apocalyptic number.

103957880625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

103957880625 is the 322425-th square number.

103957880625 is the 161213-rd centered octagonal number.

It is an amenable number.

103957880625 is a deficient number, since it is larger than the sum of its proper divisors (90234397798).

103957880625 is an frugal number, since it uses more digits than its factorization.

103957880625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2898 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

It can be divided in two parts, 1039 and 57880625, that added together give a square (57881664 = 7608²).

The spelling of 103957880625 in words is "one hundred three billion, nine hundred fifty-seven million, eight hundred eighty thousand, six hundred twenty-five".