10125769600 has 48 divisors (see below), whose sum is σ = 25013823120. Its totient is φ = 4050306560.

The previous prime is 10125769597. The next prime is 10125769609. The reversal of 10125769600 is 696752101.

10125769600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10125769600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10125769609) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1578952 + ... + 1585351.

It is an arithmetic number, because the mean of its divisors is an integer number (521121315).

Almost surely, 2^10125769600 is an apocalyptic number.

10125769600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10125769600 is an abundant number, since it is smaller than the sum of its proper divisors (14888053520).

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

10125769600 is an equidigital number, since it uses as much as digits as its factorization.

10125769600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164327 (or 3164310 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The spelling of 10125769600 in words is "ten billion, one hundred twenty-five million, seven hundred sixty-nine thousand, six hundred".