106712728584 has 128 divisors (see below), whose sum is σ = 332920627200. Its totient is φ = 27691799040.

The previous prime is 106712728579. The next prime is 106712728601. The reversal of 106712728584 is 485827217601.

It is a happy number.

It is a super-2 number, since 2×106712728584² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2000937 + ... + 2053575.

It is an arithmetic number, because the mean of its divisors is an integer number (2600942400).

Almost surely, 2^106712728584 is an apocalyptic number.

106712728584 is a gapful number since it is divisible by the number (14) 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 106712728584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166460313600).

106712728584 is an abundant number, since it is smaller than the sum of its proper divisors (226207898616).

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

106712728584 is a wasteful number, since it uses less digits than its factorization.

106712728584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53763 (or 53759 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 51.

The spelling of 106712728584 in words is "one hundred six billion, seven hundred twelve million, seven hundred twenty-eight thousand, five hundred eighty-four".