105442145344 has 56 divisors (see below), whose sum is σ = 214958533760. Its totient is φ = 51280252416.

The previous prime is 105442145317. The next prime is 105442145407. The reversal of 105442145344 is 443541244501.

It is a super-2 number, since 2×105442145344² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12089017 + ... + 12097735.

Almost surely, 2^105442145344 is an apocalyptic number.

It is an amenable number.

105442145344 is an abundant number, since it is smaller than the sum of its proper divisors (109516388416).

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

105442145344 is an equidigital number, since it uses as much as digits as its factorization.

105442145344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13875 (or 13865 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 37.

Adding to 105442145344 its reverse (443541244501), we get a palindrome (548983389845).

The spelling of 105442145344 in words is "one hundred five billion, four hundred forty-two million, one hundred forty-five thousand, three hundred forty-four".