105092442 has 96 divisors (see below), whose sum is σ = 283989888. Its totient is φ = 27347328.

The previous prime is 105092441. The next prime is 105092443. The reversal of 105092442 is 244290501.

It is an interprime number because it is at equal distance from previous prime (105092441) and next prime (105092443).

It is a super-2 number, since 2×105092442² = 22088842731046728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105092441) 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 47 ways as a sum of consecutive naturals, for example, 135568 + ... + 136340.

It is an arithmetic number, because the mean of its divisors is an integer number (2958228).

Almost surely, 2^105092442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105092442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141994944).

105092442 is an abundant number, since it is smaller than the sum of its proper divisors (178897446).

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

105092442 is a wasteful number, since it uses less digits than its factorization.

105092442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 881 counting only the distinct ones).

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

The square root of 105092442 is about 10251.4604813168. The cubic root of 105092442 is about 471.9078060141.

The spelling of 105092442 in words is "one hundred five million, ninety-two thousand, four hundred forty-two".