106005116505 has 32 divisors (see below), whose sum is σ = 175677465600. Its totient is φ = 54517874432.

The previous prime is 106005116501. The next prime is 106005116543. The reversal of 106005116505 is 505611500601.

It is a cyclic number.

It is not a de Polignac number, because 106005116505 - 2² = 106005116501 is a prime.

It is a super-2 number, since 2×106005116505² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106005116501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193816 + ... + 499574.

It is an arithmetic number, because the mean of its divisors is an integer number (5489920800).

Almost surely, 2^106005116505 is an apocalyptic number.

106005116505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106005116505 is a deficient number, since it is larger than the sum of its proper divisors (69672349095).

106005116505 is a wasteful number, since it uses less digits than its factorization.

106005116505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306593.

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 106005116505 in words is "one hundred six billion, five million, one hundred sixteen thousand, five hundred five".