106647556401 has 6 divisors (see below), whose sum is σ = 154046470370. Its totient is φ = 71098370928.

The previous prime is 106647556399. The next prime is 106647556403. The reversal of 106647556401 is 104655746601.

106647556401 is a `hidden beast` number, since 10 + 6 + 6 + 4 + 75 + 564 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (106647556399) and next prime (106647556403).

It can be written as a sum of positive squares in only one way, i.e., 92893896225 + 13753660176 = 304785^2 + 117276^2 .

It is not a de Polignac number, because 106647556401 - 2¹ = 106647556399 is a prime.

It is a super-2 number, since 2×106647556401² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106647556403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5924864236 + ... + 5924864253.

Almost surely, 2^106647556401 is an apocalyptic number.

It is an amenable number.

106647556401 is a deficient number, since it is larger than the sum of its proper divisors (47398913969).

106647556401 is a wasteful number, since it uses less digits than its factorization.

106647556401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11849728495 (or 11849728492 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 106647556401 in words is "one hundred six billion, six hundred forty-seven million, five hundred fifty-six thousand, four hundred one".