106605106201 has 16 divisors (see below), whose sum is σ = 117492249600. Its totient is φ = 95917984000.

The previous prime is 106605106189. The next prime is 106605106241. The reversal of 106605106201 is 102601506601.

It is a cyclic number.

It is not a de Polignac number, because 106605106201 - 2⁷ = 106605106073 is a prime.

It is a super-2 number, since 2×106605106201² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106605106201.

It is not an unprimeable number, because it can be changed into a prime (106605106241) 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, 3181905 + ... + 3215233.

It is an arithmetic number, because the mean of its divisors is an integer number (7343265600).

Almost surely, 2^106605106201 is an apocalyptic number.

106605106201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106605106201 is a deficient number, since it is larger than the sum of its proper divisors (10887143399).

106605106201 is a wasteful number, since it uses less digits than its factorization.

106605106201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36320.

The product of its (nonzero) digits is 2160, while the sum is 28.

The spelling of 106605106201 in words is "one hundred six billion, six hundred five million, one hundred six thousand, two hundred one".