105042134022 has 32 divisors (see below), whose sum is σ = 240460704000. Its totient is φ = 29966488608.

The previous prime is 105042133961. The next prime is 105042134051. The reversal of 105042134022 is 220431240501.

It is a super-2 number, since 2×105042134022² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105042133983 and 105042134001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1869897 + ... + 1925252.

It is an arithmetic number, because the mean of its divisors is an integer number (7514397000).

Almost surely, 2^105042134022 is an apocalyptic number.

105042134022 is an abundant number, since it is smaller than the sum of its proper divisors (135418569978).

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

105042134022 is a wasteful number, since it uses less digits than its factorization.

105042134022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3795820.

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 105042134022 its reverse (220431240501), we get a palindrome (325473374523).

The spelling of 105042134022 in words is "one hundred five billion, forty-two million, one hundred thirty-four thousand, twenty-two".