105331357581363 has 24 divisors (see below), whose sum is σ = 160699538497680. Its totient is φ = 66298019901120.

The previous prime is 105331357581337. The next prime is 105331357581379. The reversal of 105331357581363 is 363185753133501.

105331357581363 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 3 + 1 + 3 + 57 + 581 + 3 + 6 + 3 = 666.

It is not a de Polignac number, because 105331357581363 - 2⁴⁵ = 70146985492531 is a prime.

It is a super-2 number, since 2×105331357581363² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105331357581563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1051098108 + ... + 1051198313.

It is an arithmetic number, because the mean of its divisors is an integer number (6695814104070).

Almost surely, 2^{105331357581363} is an apocalyptic number.

105331357581363 is a deficient number, since it is larger than the sum of its proper divisors (55368180916317).

105331357581363 is a wasteful number, since it uses less digits than its factorization.

105331357581363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102296739 (or 2102296736 counting only the distinct ones).

The product of its (nonzero) digits is 10206000, while the sum is 54.

The spelling of 105331357581363 in words is "one hundred five trillion, three hundred thirty-one billion, three hundred fifty-seven million, five hundred eighty-one thousand, three hundred sixty-three".