10105838565738 has 128 divisors (see below), whose sum is σ = 22229409312000. Its totient is φ = 3050473789440.

The previous prime is 10105838565707. The next prime is 10105838565799. The reversal of 10105838565738 is 83756583850101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 460161078 + ... + 460183038.

It is an arithmetic number, because the mean of its divisors is an integer number (173667260250).

Almost surely, 2^{10105838565738} is an apocalyptic number.

10105838565738 is an abundant number, since it is smaller than the sum of its proper divisors (12123570746262).

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

10105838565738 is a wasteful number, since it uses less digits than its factorization.

10105838565738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23400.

The product of its (nonzero) digits is 24192000, while the sum is 60.

The spelling of 10105838565738 in words is "ten trillion, one hundred five billion, eight hundred thirty-eight million, five hundred sixty-five thousand, seven hundred thirty-eight".