106165565561 has 8 divisors (see below), whose sum is σ = 115819459200. Its totient is φ = 96512085040.

The previous prime is 106165565557. The next prime is 106165565567. The reversal of 106165565561 is 165565561601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106165565561 - 2² = 106165565557 is a prime.

It is a super-2 number, since 2×106165565561² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106165565567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 718160 + ... + 853278.

It is an arithmetic number, because the mean of its divisors is an integer number (14477432400).

Almost surely, 2^106165565561 is an apocalyptic number.

106165565561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106165565561 is a deficient number, since it is larger than the sum of its proper divisors (9653893639).

106165565561 is a wasteful number, since it uses less digits than its factorization.

106165565561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206559.

The product of its (nonzero) digits is 810000, while the sum is 47.

The spelling of 106165565561 in words is "one hundred six billion, one hundred sixty-five million, five hundred sixty-five thousand, five hundred sixty-one".