105132957 has 8 divisors (see below), whose sum is σ = 141487776. Its totient is φ = 69433392.

The previous prime is 105132953. The next prime is 105132961. The reversal of 105132957 is 759231501.

It is an interprime number because it is at equal distance from previous prime (105132953) and next prime (105132961).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105132957 - 2² = 105132953 is a prime.

It is a super-2 number, since 2×105132957² = 22105877295127698, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105132953) 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, 163438 + ... + 164079.

It is an arithmetic number, because the mean of its divisors is an integer number (17685972).

Almost surely, 2^105132957 is an apocalyptic number.

It is an amenable number.

105132957 is a deficient number, since it is larger than the sum of its proper divisors (36354819).

105132957 is a wasteful number, since it uses less digits than its factorization.

105132957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327627.

The product of its (nonzero) digits is 9450, while the sum is 33.

The square root of 105132957 is about 10253.4363508045. The cubic root of 105132957 is about 471.9684411654.

The spelling of 105132957 in words is "one hundred five million, one hundred thirty-two thousand, nine hundred fifty-seven".