10105805826106 has 64 divisors (see below), whose sum is σ = 16138215346176. Its totient is φ = 4738567680000.

The previous prime is 10105805826071. The next prime is 10105805826107. The reversal of 10105805826106 is 60162850850101.

10105805826106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10105805826106² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (10105805826107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171946281 + ... + 172005043.

It is an arithmetic number, because the mean of its divisors is an integer number (252159614784).

Almost surely, 2^{10105805826106} is an apocalyptic number.

10105805826106 is a deficient number, since it is larger than the sum of its proper divisors (6032409520070).

10105805826106 is a wasteful number, since it uses less digits than its factorization.

10105805826106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59347.

The product of its (nonzero) digits is 115200, while the sum is 43.

The spelling of 10105805826106 in words is "ten trillion, one hundred five billion, eight hundred five million, eight hundred twenty-six thousand, one hundred six".