106116416505 has 24 divisors (see below), whose sum is σ = 200656497600. Its totient is φ = 51450383520.

The previous prime is 106116416501. The next prime is 106116416519. The reversal of 106116416505 is 505614611601.

106116416505 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 1 + 641 + 6 + 5 + 0 + 5 = 666.

It is not a de Polignac number, because 106116416505 - 2² = 106116416501 is a prime.

It is a super-2 number, since 2×106116416505² (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 106116416505.

It is not an unprimeable number, because it can be changed into a prime (106116416501) 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, 107187805 + ... + 107188794.

It is an arithmetic number, because the mean of its divisors is an integer number (8360687400).

Almost surely, 2^106116416505 is an apocalyptic number.

106116416505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106116416505 is a deficient number, since it is larger than the sum of its proper divisors (94540081095).

106116416505 is a wasteful number, since it uses less digits than its factorization.

106116416505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214376621 (or 214376618 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 106116416505 in words is "one hundred six billion, one hundred sixteen million, four hundred sixteen thousand, five hundred five".