105414412357 has 2 divisors, whose sum is σ = 105414412358. Its totient is φ = 105414412356.

The previous prime is 105414412349. The next prime is 105414412511. The reversal of 105414412357 is 753214414501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102985795396 + 2428616961 = 320914^2 + 49281^2 .

It is a cyclic number.

It is not a de Polignac number, because 105414412357 - 2³ = 105414412349 is a prime.

It is a super-2 number, since 2×105414412357² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105414412157) 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, 52707206178 + 52707206179.

It is an arithmetic number, because the mean of its divisors is an integer number (52707206179).

Almost surely, 2^105414412357 is an apocalyptic number.

It is an amenable number.

105414412357 is a deficient number, since it is larger than the sum of its proper divisors (1).

105414412357 is an equidigital number, since it uses as much as digits as its factorization.

105414412357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 67200, while the sum is 37.

Adding to 105414412357 its reverse (753214414501), we get a palindrome (858628826858).

The spelling of 105414412357 in words is "one hundred five billion, four hundred fourteen million, four hundred twelve thousand, three hundred fifty-seven".