105152 has 28 divisors (see below), whose sum is σ = 219456. Its totient is φ = 49920.

The previous prime is 105143. The next prime is 105167. The reversal of 105152 is 251501.

It is a super-2 number, since 2×105152² = 22113886208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

105152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 1958 + ... + 2010.

2¹⁰⁵¹⁵² 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 105152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109728).

105152 is an abundant number, since it is smaller than the sum of its proper divisors (114304).

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

105152 is an equidigital number, since it uses as much as digits as its factorization.

105152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 105152 is about 324.2714911922. The cubic root of 105152 is about 47.1996935727.

Adding to 105152 its reverse (251501), we get a palindrome (356653).

The spelling of 105152 in words is "one hundred five thousand, one hundred fifty-two".