105126905022033 has 16 divisors (see below), whose sum is σ = 140186696838656. Its totient is φ = 70075858769280.

The previous prime is 105126905022017. The next prime is 105126905022109. The reversal of 105126905022033 is 330220509621501.

It is not a de Polignac number, because 105126905022033 - 2⁴ = 105126905022017 is a prime.

It is a super-2 number, since 2×105126905022033² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105126905021982 and 105126905022000.

It is not an unprimeable number, because it can be changed into a prime (105126905023033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1751705535 + ... + 1751765547.

It is an arithmetic number, because the mean of its divisors is an integer number (8761668552416).

Almost surely, 2^{105126905022033} is an apocalyptic number.

It is an amenable number.

105126905022033 is a deficient number, since it is larger than the sum of its proper divisors (35059791816623).

105126905022033 is a wasteful number, since it uses less digits than its factorization.

105126905022033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123144.

The product of its (nonzero) digits is 97200, while the sum is 39.

The spelling of 105126905022033 in words is "one hundred five trillion, one hundred twenty-six billion, nine hundred five million, twenty-two thousand, thirty-three".