105231133122 has 32 divisors (see below), whose sum is σ = 215381928960. Its totient is φ = 34257291600.

The previous prime is 105231133121. The next prime is 105231133153. The reversal of 105231133122 is 221331132501.

It is a happy number.

It is a super-2 number, since 2×105231133122² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105231133092 and 105231133101.

It is not an unprimeable number, because it can be changed into a prime (105231133121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2860747 + ... + 2897297.

It is an arithmetic number, because the mean of its divisors is an integer number (6730685280).

Almost surely, 2^105231133122 is an apocalyptic number.

105231133122 is an abundant number, since it is smaller than the sum of its proper divisors (110150795838).

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

105231133122 is a wasteful number, since it uses less digits than its factorization.

105231133122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47758.

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 105231133122 its reverse (221331132501), we get a palindrome (326562265623).

The spelling of 105231133122 in words is "one hundred five billion, two hundred thirty-one million, one hundred thirty-three thousand, one hundred twenty-two".