10124835768 has 24 divisors (see below), whose sum is σ = 27421430400. Its totient is φ = 3374945232.

The previous prime is 10124835737. The next prime is 10124835769. The reversal of 10124835768 is 86753842101.

10124835768 is a `hidden beast` number, since 101 + 2 + 483 + 5 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10124835769) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70311288 + ... + 70311431.

It is an arithmetic number, because the mean of its divisors is an integer number (1142559600).

Almost surely, 2^10124835768 is an apocalyptic number.

10124835768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10124835768 is an abundant number, since it is smaller than the sum of its proper divisors (17296594632).

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

10124835768 is a wasteful number, since it uses less digits than its factorization.

10124835768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140622731 (or 140622724 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 10124835768 in words is "ten billion, one hundred twenty-four million, eight hundred thirty-five thousand, seven hundred sixty-eight".