105597842 has 24 divisors (see below), whose sum is σ = 190206720. Its totient is φ = 43795080.

The previous prime is 105597797. The next prime is 105597847. The reversal of 105597842 is 248795501.

It is a super-2 number, since 2×105597842² = 22301808470113928, which contains 22 as substring.

It is a hoax number, since the sum of its digits (41) 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 105597842.

It is not an unprimeable number, because it can be changed into a prime (105597847) 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 11 ways as a sum of consecutive naturals, for example, 14342 + ... + 20417.

It is an arithmetic number, because the mean of its divisors is an integer number (7925280).

Almost surely, 2^105597842 is an apocalyptic number.

105597842 is a deficient number, since it is larger than the sum of its proper divisors (84608878).

105597842 is a wasteful number, since it uses less digits than its factorization.

105597842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34806 (or 34799 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 41.

The square root of 105597842 is about 10276.0810623506. The cubic root of 105597842 is about 472.6630804243.

The spelling of 105597842 in words is "one hundred five million, five hundred ninety-seven thousand, eight hundred forty-two".