105314602231215 has 48 divisors (see below), whose sum is σ = 202928781968640. Its totient is φ = 50174698821120.

The previous prime is 105314602231211. The next prime is 105314602231219. The reversal of 105314602231215 is 512132206413501.

105314602231215 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 1 + 4 + 602 + 2 + 31 + 2 + 15 = 666.

It is an interprime number because it is at equal distance from previous prime (105314602231211) and next prime (105314602231219).

It is not a de Polignac number, because 105314602231215 - 2² = 105314602231211 is a prime.

It is a super-2 number, since 2×105314602231215² (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 105314602231215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105314602231211) 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 47 ways as a sum of consecutive naturals, for example, 2903610270 + ... + 2903646539.

It is an arithmetic number, because the mean of its divisors is an integer number (4227682957680).

Almost surely, 2^{105314602231215} is an apocalyptic number.

105314602231215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105314602231215 is a deficient number, since it is larger than the sum of its proper divisors (97614179737425).

105314602231215 is a wasteful number, since it uses less digits than its factorization.

105314602231215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5807256864 (or 5807256861 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 105314602231215 its reverse (512132206413501), we get a palindrome (617446808644716).

The spelling of 105314602231215 in words is "one hundred five trillion, three hundred fourteen billion, six hundred two million, two hundred thirty-one thousand, two hundred fifteen".