10105385868 has 36 divisors (see below), whose sum is σ = 25590080880. Its totient is φ = 3362407776.

The previous prime is 10105385861. The next prime is 10105385887. The reversal of 10105385868 is 86858350101.

10105385868 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 538 + 58 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10105385868² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10105385861) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231928 + ... + 272031.

It is an arithmetic number, because the mean of its divisors is an integer number (710835580).

Almost surely, 2^10105385868 is an apocalyptic number.

10105385868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10105385868 is an abundant number, since it is smaller than the sum of its proper divisors (15484695012).

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

10105385868 is a wasteful number, since it uses less digits than its factorization.

10105385868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504526 (or 504521 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 10105385868 in words is "ten billion, one hundred five million, three hundred eighty-five thousand, eight hundred sixty-eight".