105116501505105 has 48 divisors (see below), whose sum is σ = 195262239294720. Its totient is φ = 52175335158144.

The previous prime is 105116501505101. The next prime is 105116501505109. The reversal of 105116501505105 is 501505105611501.

105116501505105 is a `hidden beast` number, since 1 + 0 + 51 + 1 + 6 + 501 + 50 + 51 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (105116501505101) and next prime (105116501505109).

It is not a de Polignac number, because 105116501505105 - 2² = 105116501505101 is a prime.

It is a super-2 number, since 2×105116501505105² (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 105116501505105.

It is not an unprimeable number, because it can be changed into a prime (105116501505101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1372418965 + ... + 1372495554.

It is an arithmetic number, because the mean of its divisors is an integer number (4067963318640).

Almost surely, 2^{105116501505105} is an apocalyptic number.

105116501505105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105116501505105 is a deficient number, since it is larger than the sum of its proper divisors (90145737789615).

105116501505105 is a wasteful number, since it uses less digits than its factorization.

105116501505105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2744914590 (or 2744914587 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 36.

The spelling of 105116501505105 in words is "one hundred five trillion, one hundred sixteen billion, five hundred one million, five hundred five thousand, one hundred five".