106806201601 has 24 divisors (see below), whose sum is σ = 121607778600. Its totient is φ = 93624115200.

The previous prime is 106806201599. The next prime is 106806201637. The reversal of 106806201601 is 106102608601.

It can be written as a sum of positive squares in 4 ways, for example, as 19516090000 + 87290111601 = 139700^2 + 295449^2 .

It is not a de Polignac number, because 106806201601 - 2¹ = 106806201599 is a prime.

It is a super-2 number, since 2×106806201601² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106806207601) 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, 2678631 + ... + 2718211.

It is an arithmetic number, because the mean of its divisors is an integer number (5066990775).

Almost surely, 2^106806201601 is an apocalyptic number.

106806201601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106806201601 is a deficient number, since it is larger than the sum of its proper divisors (14801576999).

106806201601 is a wasteful number, since it uses less digits than its factorization.

106806201601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40401 (or 40390 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 106806201601 in words is "one hundred six billion, eight hundred six million, two hundred one thousand, six hundred one".