105092952 has 32 divisors (see below), whose sum is σ = 276561600. Its totient is φ = 33187104.

The previous prime is 105092951. The next prime is 105093017. The reversal of 105092952 is 259290501.

It is a super-4 number, since 4×105092952⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105092951) 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 7 ways as a sum of consecutive naturals, for example, 114778 + ... + 115689.

It is an arithmetic number, because the mean of its divisors is an integer number (8642550).

Almost surely, 2^105092952 is an apocalyptic number.

105092952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105092952 is an abundant number, since it is smaller than the sum of its proper divisors (171468648).

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

105092952 is a wasteful number, since it uses less digits than its factorization.

105092952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230495 (or 230491 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The square root of 105092952 is about 10251.4853557911. The cubic root of 105092952 is about 471.9085693820.

The spelling of 105092952 in words is "one hundred five million, ninety-two thousand, nine hundred fifty-two".