105725952 has 120 divisors (see below), whose sum is σ = 314563200. Its totient is φ = 35094528.

The previous prime is 105725947. The next prime is 105725953. The reversal of 105725952 is 259527501.

105725952 is a `hidden beast` number, since 10 + 57 + 2 + 595 + 2 = 666.

It is a super-2 number, since 2×105725952² = 22355953852612608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105725953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 442249 + ... + 442487.

It is an arithmetic number, because the mean of its divisors is an integer number (2621360).

Almost surely, 2^105725952 is an apocalyptic number.

105725952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105725952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157281600).

105725952 is an abundant number, since it is smaller than the sum of its proper divisors (208837248).

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

105725952 is an frugal number, since it uses more digits than its factorization.

105725952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 105725952 is about 10282.3125803488. The cubic root of 105725952 is about 472.8541461861.

The spelling of 105725952 in words is "one hundred five million, seven hundred twenty-five thousand, nine hundred fifty-two".