105516021671247 has 24 divisors (see below), whose sum is σ = 163037023748352. Its totient is φ = 60187392035200.

The previous prime is 105516021671149. The next prime is 105516021671293. The reversal of 105516021671247 is 742176120615501.

It is not a de Polignac number, because 105516021671247 - 2⁷ = 105516021671119 is a prime.

It is a super-2 number, since 2×105516021671247² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105516021671196 and 105516021671205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105516021671647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5531919879 + ... + 5531938952.

It is an arithmetic number, because the mean of its divisors is an integer number (6793209322848).

Almost surely, 2^{105516021671247} is an apocalyptic number.

105516021671247 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

105516021671247 is a deficient number, since it is larger than the sum of its proper divisors (57521002077105).

105516021671247 is a wasteful number, since it uses less digits than its factorization.

105516021671247 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11063858879 (or 11063858862 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 48.

The spelling of 105516021671247 in words is "one hundred five trillion, five hundred sixteen billion, twenty-one million, six hundred seventy-one thousand, two hundred forty-seven".