105442040532 has 24 divisors (see below), whose sum is σ = 246644983872. Its totient is φ = 35059696000.

The previous prime is 105442040521. The next prime is 105442040549. The reversal of 105442040532 is 235040244501.

It is a super-2 number, since 2×105442040532² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 105442040532.

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 7 ways as a sum of consecutive naturals, for example, 10951344 + ... + 10960967.

It is an arithmetic number, because the mean of its divisors is an integer number (10276874328).

Almost surely, 2^105442040532 is an apocalyptic number.

105442040532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105442040532 is an abundant number, since it is smaller than the sum of its proper divisors (141202943340).

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

105442040532 is a wasteful number, since it uses less digits than its factorization.

105442040532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21912719 (or 21912717 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 105442040532 in words is "one hundred five billion, four hundred forty-two million, forty thousand, five hundred thirty-two".