105442321131 has 96 divisors (see below), whose sum is σ = 195148495360. Its totient is φ = 55538182656.

The previous prime is 105442321111. The next prime is 105442321147. The reversal of 105442321131 is 131123244501.

105442321131 is a `hidden beast` number, since 1 + 0 + 5 + 442 + 3 + 211 + 3 + 1 = 666.

It is not a de Polignac number, because 105442321131 - 2⁹ = 105442320619 is a prime.

It is a super-2 number, since 2×105442321131² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 105442321095 and 105442321104.

It is not an unprimeable number, because it can be changed into a prime (105442321111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1151715 + ... + 1239891.

Almost surely, 2^105442321131 is an apocalyptic number.

105442321131 is a deficient number, since it is larger than the sum of its proper divisors (89706174229).

105442321131 is an equidigital number, since it uses as much as digits as its factorization.

105442321131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88255 (or 88243 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 105442321131 its reverse (131123244501), we get a palindrome (236565565632).

The spelling of 105442321131 in words is "one hundred five billion, four hundred forty-two million, three hundred twenty-one thousand, one hundred thirty-one".