106661165301 has 24 divisors (see below), whose sum is σ = 157468442040. Its totient is φ = 69545613696.

The previous prime is 106661165263. The next prime is 106661165311. The reversal of 106661165301 is 103561166601.

It can be written as a sum of positive squares in 4 ways, for example, as 1442024676 + 105219140625 = 37974^2 + 324375^2 .

It is not a de Polignac number, because 106661165301 - 2¹⁸ = 106660903157 is a prime.

It is a super-2 number, since 2×106661165301² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106661165311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201486 + ... + 503903.

It is an arithmetic number, because the mean of its divisors is an integer number (6561185085).

Almost surely, 2^106661165301 is an apocalyptic number.

It is an amenable number.

106661165301 is a deficient number, since it is larger than the sum of its proper divisors (50807276739).

106661165301 is a wasteful number, since it uses less digits than its factorization.

106661165301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705765 (or 705762 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 106661165301 in words is "one hundred six billion, six hundred sixty-one million, one hundred sixty-five thousand, three hundred one".