105311110352415 has 64 divisors (see below), whose sum is σ = 185641849147392. Its totient is φ = 50552717696000.

The previous prime is 105311110352401. The next prime is 105311110352419. The reversal of 105311110352415 is 514253011113501.

It is not a de Polignac number, because 105311110352415 - 2⁸ = 105311110352159 is a prime.

It is a super-2 number, since 2×105311110352415² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105311110352419) 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 63 ways as a sum of consecutive naturals, for example, 611736082 + ... + 611908208.

It is an arithmetic number, because the mean of its divisors is an integer number (2900653892928).

Almost surely, 2^{105311110352415} is an apocalyptic number.

105311110352415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105311110352415 is a deficient number, since it is larger than the sum of its proper divisors (80330738794977).

105311110352415 is a wasteful number, since it uses less digits than its factorization.

105311110352415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208960.

The product of its (nonzero) digits is 9000, while the sum is 33.

Adding to 105311110352415 its reverse (514253011113501), we get a palindrome (619564121465916).

The spelling of 105311110352415 in words is "one hundred five trillion, three hundred eleven billion, one hundred ten million, three hundred fifty-two thousand, four hundred fifteen".