10100538576805 has 16 divisors (see below), whose sum is σ = 12131742285360. Its totient is φ = 8073035292672.

The previous prime is 10100538576787. The next prime is 10100538576859. The reversal of 10100538576805 is 50867583500101.

It can be written as a sum of positive squares in 8 ways, for example, as 1518164051044 + 8582374525761 = 1232138^2 + 2929569^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100538576805 - 2⁵ = 10100538576773 is a prime.

It is a super-3 number, since 3×10100538576805³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47696917 + ... + 47908213.

It is an arithmetic number, because the mean of its divisors is an integer number (758233892835).

Almost surely, 2^{10100538576805} is an apocalyptic number.

It is an amenable number.

10100538576805 is a deficient number, since it is larger than the sum of its proper divisors (2031203708555).

10100538576805 is a wasteful number, since it uses less digits than its factorization.

10100538576805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220008.

The product of its (nonzero) digits is 1008000, while the sum is 49.

The spelling of 10100538576805 in words is "ten trillion, one hundred billion, five hundred thirty-eight million, five hundred seventy-six thousand, eight hundred five".