105032957 has 2 divisors, whose sum is σ = 105032958. Its totient is φ = 105032956.

The previous prime is 105032951. The next prime is 105032959. The reversal of 105032957 is 759230501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104980516 + 52441 = 10246^2 + 229^2 .

It is a cyclic number.

It is not a de Polignac number, because 105032957 - 2⁸ = 105032701 is a prime.

It is a super-2 number, since 2×105032957² = 22063844112327698, which contains 22 as substring.

Together with 105032959, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105032951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52516478 + 52516479.

It is an arithmetic number, because the mean of its divisors is an integer number (52516479).

Almost surely, 2^105032957 is an apocalyptic number.

It is an amenable number.

105032957 is a deficient number, since it is larger than the sum of its proper divisors (1).

105032957 is an equidigital number, since it uses as much as digits as its factorization.

105032957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9450, while the sum is 32.

The square root of 105032957 is about 10248.5587767256. The cubic root of 105032957 is about 471.8187519288.

The spelling of 105032957 in words is "one hundred five million, thirty-two thousand, nine hundred fifty-seven".