106644446601 has 32 divisors (see below), whose sum is σ = 179271014400. Its totient is φ = 54777233280.

The previous prime is 106644446581. The next prime is 106644446603.

106644446601 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 106644446601 - 2²⁷ = 106510228873 is a prime.

It is a super-2 number, since 2×106644446601² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106644446603) 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, 2573061 + ... + 2614178.

It is an arithmetic number, because the mean of its divisors is an integer number (5602219200).

Almost surely, 2^106644446601 is an apocalyptic number.

106644446601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106644446601 is a deficient number, since it is larger than the sum of its proper divisors (72626567799).

106644446601 is a wasteful number, since it uses less digits than its factorization.

106644446601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5187349.

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 106644446601 in words is "one hundred six billion, six hundred forty-four million, four hundred forty-six thousand, six hundred one".