105032224243957 has 2 divisors, whose sum is σ = 105032224243958. Its totient is φ = 105032224243956.

The previous prime is 105032224243889. The next prime is 105032224243981. The reversal of 105032224243957 is 759342422230501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80245029445681 + 24787194798276 = 8957959^2 + 4978674^2 .

It is an emirp because it is prime and its reverse (759342422230501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105032224243957 - 2²³ = 105032215855349 is a prime.

It is a super-2 number, since 2×105032224243957² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105032224243957.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105032224943957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52516112121978 + 52516112121979.

It is an arithmetic number, because the mean of its divisors is an integer number (52516112121979).

Almost surely, 2^{105032224243957} is an apocalyptic number.

It is an amenable number.

105032224243957 is a deficient number, since it is larger than the sum of its proper divisors (1).

105032224243957 is an equidigital number, since it uses as much as digits as its factorization.

105032224243957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3628800, while the sum is 49.

The spelling of 105032224243957 in words is "one hundred five trillion, thirty-two billion, two hundred twenty-four million, two hundred forty-three thousand, nine hundred fifty-seven".