105415311015 has 48 divisors (see below), whose sum is σ = 209034049536. Its totient is φ = 48141086400.

The previous prime is 105415311011. The next prime is 105415311047. The reversal of 105415311015 is 510113514501.

105415311015 is a `hidden beast` number, since 1 + 0 + 541 + 5 + 3 + 110 + 1 + 5 = 666.

It is not a de Polignac number, because 105415311015 - 2² = 105415311011 is a prime.

It is a super-2 number, since 2×105415311015² (a number of 23 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 105415311015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105415311011) 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 47 ways as a sum of consecutive naturals, for example, 143320 + ... + 481010.

It is an arithmetic number, because the mean of its divisors is an integer number (4354876032).

Almost surely, 2^105415311015 is an apocalyptic number.

105415311015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105415311015 is a deficient number, since it is larger than the sum of its proper divisors (103618738521).

105415311015 is a wasteful number, since it uses less digits than its factorization.

105415311015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338700 (or 338697 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

Adding to 105415311015 its reverse (510113514501), we get a palindrome (615528825516).

The spelling of 105415311015 in words is "one hundred five billion, four hundred fifteen million, three hundred eleven thousand, fifteen".