105638331125 has 16 divisors (see below), whose sum is σ = 134902612416. Its totient is φ = 82545296400.

The previous prime is 105638331121. The next prime is 105638331163. The reversal of 105638331125 is 521133836501.

It is not a de Polignac number, because 105638331125 - 2² = 105638331121 is a prime.

It is a super-2 number, since 2×105638331125² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105638331121) 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, 9821447 + ... + 9832196.

It is an arithmetic number, because the mean of its divisors is an integer number (8431413276).

Almost surely, 2^105638331125 is an apocalyptic number.

It is an amenable number.

105638331125 is a deficient number, since it is larger than the sum of its proper divisors (29264281291).

105638331125 is an equidigital number, since it uses as much as digits as its factorization.

105638331125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19653701 (or 19653691 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The spelling of 105638331125 in words is "one hundred five billion, six hundred thirty-eight million, three hundred thirty-one thousand, one hundred twenty-five".