104137432800625 has 45 divisors (see below), whose sum is σ = 151378468486311. Its totient is φ = 71407300776000.

The previous prime is 104137432800617. The next prime is 104137432800649. The reversal of 104137432800625 is 526008234731401.

The square root of 104137432800625 is 10204775.

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

It can be written as a sum of positive squares in 7 ways, for example, as 58372640759601 + 45764792041024 = 7640199^2 + 6764968^2 .

It is not a de Polignac number, because 104137432800625 - 2³ = 104137432800617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1785806469 + ... + 1785864781.

Almost surely, 2^{104137432800625} is an apocalyptic number.

104137432800625 is the 10204775-th square number.

104137432800625 is the 5102388-th centered octagonal number.

It is an amenable number.

104137432800625 is a deficient number, since it is larger than the sum of its proper divisors (47241035685686).

104137432800625 is an frugal number, since it uses more digits than its factorization.

104137432800625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116660 (or 58325 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 104137432800625 in words is "one hundred four trillion, one hundred thirty-seven billion, four hundred thirty-two million, eight hundred thousand, six hundred twenty-five".