103725688753 has 16 divisors (see below), whose sum is σ = 105403194000. Its totient is φ = 102060851200.

The previous prime is 103725688721. The next prime is 103725688777. The reversal of 103725688753 is 357886527301.

It can be written as a sum of positive squares in 8 ways, for example, as 394300449 + 103331388304 = 19857^2 + 321452^2 .

It is a cyclic number.

It is not a de Polignac number, because 103725688753 - 2⁵ = 103725688721 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103725688694 and 103725688703.

It is not an unprimeable number, because it can be changed into a prime (103725688453) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16021125 + ... + 16027597.

It is an arithmetic number, because the mean of its divisors is an integer number (6587699625).

Almost surely, 2^103725688753 is an apocalyptic number.

It is an amenable number.

103725688753 is a deficient number, since it is larger than the sum of its proper divisors (1677505247).

103725688753 is an equidigital number, since it uses as much as digits as its factorization.

103725688753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7412.

The product of its (nonzero) digits is 8467200, while the sum is 55.

The spelling of 103725688753 in words is "one hundred three billion, seven hundred twenty-five million, six hundred eighty-eight thousand, seven hundred fifty-three".