106252085688 has 96 divisors (see below), whose sum is σ = 309555075600. Its totient is φ = 30303049728.

The previous prime is 106252085683. The next prime is 106252085701. The reversal of 106252085688 is 886580252601.

It is a super-2 number, since 2×106252085688² (a number of 23 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 106252085688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106252085683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 573928 + ... + 736136.

Almost surely, 2^106252085688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106252085688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154777537800).

106252085688 is an abundant number, since it is smaller than the sum of its proper divisors (203302989912).

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

106252085688 is a wasteful number, since it uses less digits than its factorization.

106252085688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162789 (or 162778 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 51.

The spelling of 106252085688 in words is "one hundred six billion, two hundred fifty-two million, eighty-five thousand, six hundred eighty-eight".