106430220416601 has 12 divisors (see below), whose sum is σ = 154529082265428. Its totient is φ = 70585845663744.

The previous prime is 106430220416563. The next prime is 106430220416633. The reversal of 106430220416601 is 106614022034601.

106430220416601 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 3 + 0 + 2 + 2 + 0 + 41 + 6 + 601 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37293922265625 + 69136298150976 = 6106875^2 + 8314824^2 .

It is not a de Polignac number, because 106430220416601 - 2¹⁰ = 106430220415577 is a prime.

It is a super-2 number, since 2×106430220416601² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106430220416101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30636216000 + ... + 30636219473.

It is an arithmetic number, because the mean of its divisors is an integer number (12877423522119).

Almost surely, 2^{106430220416601} is an apocalyptic number.

It is an amenable number.

106430220416601 is a deficient number, since it is larger than the sum of its proper divisors (48098861848827).

106430220416601 is a wasteful number, since it uses less digits than its factorization.

106430220416601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61272435672 (or 61272435669 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 106430220416601 in words is "one hundred six trillion, four hundred thirty billion, two hundred twenty million, four hundred sixteen thousand, six hundred one".