10124685585 has 32 divisors (see below), whose sum is σ = 20570791680. Its totient is φ = 4628427264.

The previous prime is 10124685481. The next prime is 10124685601. The reversal of 10124685585 is 58558642101.

10124685585 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 4 + 68 + 5 + 585 = 666.

10124685585 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10124685585 - 2¹⁵ = 10124652817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 10124685585.

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 31 ways as a sum of consecutive naturals, for example, 5356032 + ... + 5357921.

It is an arithmetic number, because the mean of its divisors is an integer number (642837240).

Almost surely, 2^10124685585 is an apocalyptic number.

10124685585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10124685585 is an abundant number, since it is smaller than the sum of its proper divisors (10446106095).

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

10124685585 is a wasteful number, since it uses less digits than its factorization.

10124685585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10713974 (or 10713968 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 10124685585 in words is "ten billion, one hundred twenty-four million, six hundred eighty-five thousand, five hundred eighty-five".