10500125905 has 16 divisors (see below), whose sum is σ = 13344189264. Its totient is φ = 7904286720.

The previous prime is 10500125873. The next prime is 10500125929. The reversal of 10500125905 is 50952100501.

It can be written as a sum of positive squares in 8 ways, for example, as 1438609041 + 9061516864 = 37929^2 + 95192^2 .

It is not a de Polignac number, because 10500125905 - 2⁵ = 10500125873 is a prime.

It is a super-2 number, since 2×10500125905² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 506035 + ... + 526375.

It is an arithmetic number, because the mean of its divisors is an integer number (834011829).

Almost surely, 2^10500125905 is an apocalyptic number.

It is an amenable number.

10500125905 is a deficient number, since it is larger than the sum of its proper divisors (2844063359).

10500125905 is a wasteful number, since it uses less digits than its factorization.

10500125905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26436.

The product of its (nonzero) digits is 2250, while the sum is 28.

The spelling of 10500125905 in words is "ten billion, five hundred million, one hundred twenty-five thousand, nine hundred five".