106485303584601 has 8 divisors (see below), whose sum is σ = 157756005310560. Its totient is φ = 70990202389716.

The previous prime is 106485303584567. The next prime is 106485303584623.

It is a happy number.

106485303584601 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 8 + 53 + 0 + 3 + 584 + 6 + 0 + 1 = 666.

106485303584601 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 106485303584601 - 2¹⁵ = 106485303551833 is a prime.

It is a super-2 number, since 2×106485303584601² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106485303584651) 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, 1971950066355 + ... + 1971950066408.

It is an arithmetic number, because the mean of its divisors is an integer number (19719500663820).

Almost surely, 2^{106485303584601} is an apocalyptic number.

It is an amenable number.

106485303584601 is a deficient number, since it is larger than the sum of its proper divisors (51270701725959).

106485303584601 is an equidigital number, since it uses as much as digits as its factorization.

106485303584601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3943900132772 (or 3943900132766 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 106485303584601 in words is "one hundred six trillion, four hundred eighty-five billion, three hundred three million, five hundred eighty-four thousand, six hundred one".