105665105601 has 24 divisors (see below), whose sum is σ = 167291735520. Its totient is φ = 63735940800.

The previous prime is 105665105551. The next prime is 105665105617. The reversal of 105665105601 is 106501566501.

It is not a de Polignac number, because 105665105601 - 2²³ = 105656716993 is a prime.

It is a super-2 number, since 2×105665105601² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105665105101) 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, 2508316 + ... + 2550093.

It is an arithmetic number, because the mean of its divisors is an integer number (6970488980).

Almost surely, 2^105665105601 is an apocalyptic number.

105665105601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105665105601 is a deficient number, since it is larger than the sum of its proper divisors (61626629919).

105665105601 is a wasteful number, since it uses less digits than its factorization.

105665105601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5058637 (or 5058634 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 105665105601 in words is "one hundred five billion, six hundred sixty-five million, one hundred five thousand, six hundred one".