105952 has 48 divisors (see below), whose sum is σ = 266112. Its totient is φ = 40320.

The previous prime is 105943. The next prime is 105953. The reversal of 105952 is 259501.

It is a super-2 number, since 2×105952² = 22451652608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105953) by changing a digit.

105952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2443 + ... + 2485.

It is an arithmetic number, because the mean of its divisors is an integer number (5544).

2¹⁰⁵⁹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133056).

105952 is an abundant number, since it is smaller than the sum of its proper divisors (160160).

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

105952 is a wasteful number, since it uses less digits than its factorization.

105952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 105952 is about 325.5026881609. The cubic root of 105952 is about 47.3190902505.

It can be divided in two parts, 1059 and 52, that added together give a palindrome (1111).

The spelling of 105952 in words is "one hundred five thousand, nine hundred fifty-two".