105103743125 has 40 divisors (see below), whose sum is σ = 141421230720. Its totient is φ = 77795168000.

The previous prime is 105103743079. The next prime is 105103743161. The reversal of 105103743125 is 521347301501.

It is not a de Polignac number, because 105103743125 - 2¹² = 105103739029 is a prime.

It is a super-2 number, since 2×105103743125² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105103743091 and 105103743100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 543044 + ... + 710706.

It is an arithmetic number, because the mean of its divisors is an integer number (3535530768).

Almost surely, 2^105103743125 is an apocalyptic number.

It is an amenable number.

105103743125 is a deficient number, since it is larger than the sum of its proper divisors (36317487595).

105103743125 is an equidigital number, since it uses as much as digits as its factorization.

105103743125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167759 (or 167744 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The spelling of 105103743125 in words is "one hundred five billion, one hundred three million, seven hundred forty-three thousand, one hundred twenty-five".