10500125904 has 100 divisors (see below), whose sum is σ = 30411907680. Its totient is φ = 3497567040.

The previous prime is 10500125873. The next prime is 10500125929. The reversal of 10500125904 is 40952100501.

10500125904 is a `hidden beast` number, since 10 + 50 + 0 + 12 + 590 + 4 = 666.

10500125904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10500125904³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3288949 + ... + 3292139.

Almost surely, 2^10500125904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10500125904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15205953840).

10500125904 is an abundant number, since it is smaller than the sum of its proper divisors (19911781776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10500125904 is a wasteful number, since it uses less digits than its factorization.

10500125904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5750 (or 5735 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 10500125904 in words is "ten billion, five hundred million, one hundred twenty-five thousand, nine hundred four".