106501117205 has 16 divisors (see below), whose sum is σ = 146988992640. Its totient is φ = 72564178752.

The previous prime is 106501117189. The next prime is 106501117213. The reversal of 106501117205 is 502711105601.

It is a cyclic number.

It is not a de Polignac number, because 106501117205 - 2⁴ = 106501117189 is a prime.

It is a super-2 number, since 2×106501117205² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9685235 + ... + 9696224.

It is an arithmetic number, because the mean of its divisors is an integer number (9186812040).

Almost surely, 2^106501117205 is an apocalyptic number.

It is an amenable number.

106501117205 is a deficient number, since it is larger than the sum of its proper divisors (40487875435).

106501117205 is a wasteful number, since it uses less digits than its factorization.

106501117205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19381628.

The product of its (nonzero) digits is 2100, while the sum is 29.

The spelling of 106501117205 in words is "one hundred six billion, five hundred one million, one hundred seventeen thousand, two hundred five".