105536465450331 has 16 divisors (see below), whose sum is σ = 149180287116288. Its totient is φ = 66247824866400.

The previous prime is 105536465450321. The next prime is 105536465450341. The reversal of 105536465450331 is 133054564635501.

It is an interprime number because it is at equal distance from previous prime (105536465450321) and next prime (105536465450341).

It is not a de Polignac number, because 105536465450331 - 2⁷ = 105536465450203 is a prime.

It is a super-2 number, since 2×105536465450331² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105536465450321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15335141205 + ... + 15335148086.

It is an arithmetic number, because the mean of its divisors is an integer number (9323767944768).

Almost surely, 2^{105536465450331} is an apocalyptic number.

105536465450331 is a deficient number, since it is larger than the sum of its proper divisors (43643821665957).

105536465450331 is a wasteful number, since it uses less digits than its factorization.

105536465450331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30670289362.

The product of its (nonzero) digits is 9720000, while the sum is 51.

The spelling of 105536465450331 in words is "one hundred five trillion, five hundred thirty-six billion, four hundred sixty-five million, four hundred fifty thousand, three hundred thirty-one".