106013639886 has 128 divisors (see below), whose sum is σ = 269272166400. Its totient is φ = 27024399360.

The previous prime is 106013639869. The next prime is 106013639887. The reversal of 106013639886 is 688936310601.

It is a super-2 number, since 2×106013639886² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106013639887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18341745 + ... + 18347523.

It is an arithmetic number, because the mean of its divisors is an integer number (2103688800).

Almost surely, 2^106013639886 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106013639886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134636083200).

106013639886 is an abundant number, since it is smaller than the sum of its proper divisors (163258526514).

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

106013639886 is a wasteful number, since it uses less digits than its factorization.

106013639886 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6534.

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 106013639886 in words is "one hundred six billion, thirteen million, six hundred thirty-nine thousand, eight hundred eighty-six".