106586926147086 has 96 divisors (see below), whose sum is σ = 267886802776320. Its totient is φ = 27674767570560.

The previous prime is 106586926147063. The next prime is 106586926147103. The reversal of 106586926147086 is 680741629685601.

It is a super-2 number, since 2×106586926147086² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106586926147086.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10026085 + ... + 17711471.

It is an arithmetic number, because the mean of its divisors is an integer number (2790487528920).

Almost surely, 2^{106586926147086} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106586926147086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133943401388160).

106586926147086 is an abundant number, since it is smaller than the sum of its proper divisors (161299876629234).

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

106586926147086 is a wasteful number, since it uses less digits than its factorization.

106586926147086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7688150 (or 7688139 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 69.

The spelling of 106586926147086 in words is "one hundred six trillion, five hundred eighty-six billion, nine hundred twenty-six million, one hundred forty-seven thousand, eighty-six".