106564626432 has 360 divisors, whose sum is σ = 349933433850. Its totient is φ = 32286228480.

The previous prime is 106564626373. The next prime is 106564626433. The reversal of 106564626432 is 234626465601.

It is a happy number.

106564626432 is a `hidden beast` number, since 10 + 6 + 5 + 6 + 4 + 626 + 4 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 106474300416 + 90326016 = 326304^2 + 9504^2 .

It is a super-2 number, since 2×106564626432² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106564626433) 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 29 ways as a sum of consecutive naturals, for example, 20069794 + ... + 20075102.

Almost surely, 2^106564626432 is an apocalyptic number.

106564626432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106564626432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174966716925).

106564626432 is an abundant number, since it is smaller than the sum of its proper divisors (243368807418).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106564626432 is an equidigital number, since it uses as much as digits as its factorization.

106564626432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5365 (or 5325 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 106564626432 in words is "one hundred six billion, five hundred sixty-four million, six hundred twenty-six thousand, four hundred thirty-two".