105307642 has 16 divisors (see below), whose sum is σ = 178264800. Its totient is φ = 46216240.

The previous prime is 105307637. The next prime is 105307649. The reversal of 105307642 is 246703501.

It is a super-2 number, since 2×105307642² = 22179398927200328, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105307642.

It is not an unprimeable number, because it can be changed into a prime (105307649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81892 + ... + 83167.

It is an arithmetic number, because the mean of its divisors is an integer number (11141550).

Almost surely, 2^105307642 is an apocalyptic number.

105307642 is a deficient number, since it is larger than the sum of its proper divisors (72957158).

105307642 is a wasteful number, since it uses less digits than its factorization.

105307642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165101.

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 105307642 is about 10261.9511789913. The cubic root of 105307642 is about 472.2296982397.

The spelling of 105307642 in words is "one hundred five million, three hundred seven thousand, six hundred forty-two".