105403957 has 2 divisors, whose sum is σ = 105403958. Its totient is φ = 105403956.

The previous prime is 105403919. The next prime is 105403979. The reversal of 105403957 is 759304501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60124516 + 45279441 = 7754^2 + 6729^2 .

It is a cyclic number.

It is not a de Polignac number, because 105403957 - 2¹⁹ = 104879669 is a prime.

It is a super-2 number, since 2×105403957² = 22219988302515698, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105403997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52701978 + 52701979.

It is an arithmetic number, because the mean of its divisors is an integer number (52701979).

Almost surely, 2^105403957 is an apocalyptic number.

It is an amenable number.

105403957 is a deficient number, since it is larger than the sum of its proper divisors (1).

105403957 is an equidigital number, since it uses as much as digits as its factorization.

105403957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 105403957 is about 10266.6429274617. The cubic root of 105403957 is about 472.3736224073.

The spelling of 105403957 in words is "one hundred five million, four hundred three thousand, nine hundred fifty-seven".