105125357 has 2 divisors, whose sum is σ = 105125358. Its totient is φ = 105125356.

The previous prime is 105125333. The next prime is 105125359. The reversal of 105125357 is 753521501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88755241 + 16370116 = 9421^2 + 4046^2 .

It is a cyclic number.

It is not a de Polignac number, because 105125357 - 2¹⁴ = 105108973 is a prime.

It is a super-2 number, since 2×105125357² = 22102681368754898, which contains 22 as substring.

Together with 105125359, 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 (105125359) 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 as a sum of consecutive naturals, namely, 52562678 + 52562679.

It is an arithmetic number, because the mean of its divisors is an integer number (52562679).

Almost surely, 2^105125357 is an apocalyptic number.

It is an amenable number.

105125357 is a deficient number, since it is larger than the sum of its proper divisors (1).

105125357 is an equidigital number, since it uses as much as digits as its factorization.

105125357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5250, while the sum is 29.

The square root of 105125357 is about 10253.0657366468. The cubic root of 105125357 is about 471.9570681171.

Adding to 105125357 its reverse (753521501), we get a palindrome (858646858).

The spelling of 105125357 in words is "one hundred five million, one hundred twenty-five thousand, three hundred fifty-seven".