105661066601 has 16 divisors (see below), whose sum is σ = 108548778624. Its totient is φ = 102793670784.

The previous prime is 105661066541. The next prime is 105661066661. The reversal of 105661066601 is 106660166501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105661066541) and next prime (105661066661).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105661066601 is a prime.

It is a super-2 number, since 2×105661066601² (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 (105661066661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13741580 + ... + 13749266.

It is an arithmetic number, because the mean of its divisors is an integer number (6784298664).

Almost surely, 2^105661066601 is an apocalyptic number.

It is an amenable number.

105661066601 is a deficient number, since it is larger than the sum of its proper divisors (2887712023).

105661066601 is an equidigital number, since it uses as much as digits as its factorization.

105661066601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8960.

The product of its (nonzero) digits is 38880, while the sum is 38.

It can be divided in two parts, 1056610 and 66601, that added together give a palindrome (1123211).

The spelling of 105661066601 in words is "one hundred five billion, six hundred sixty-one million, sixty-six thousand, six hundred one".