106817886 has 128 divisors (see below), whose sum is σ = 290304000. Its totient is φ = 28436832.

The previous prime is 106817881. The next prime is 106817897. The reversal of 106817886 is 688718601.

It is a super-2 number, since 2×106817886² = 22820121539017992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106817881) 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 63 ways as a sum of consecutive naturals, for example, 768405 + ... + 768543.

It is an arithmetic number, because the mean of its divisors is an integer number (2268000).

Almost surely, 2^106817886 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106817886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152000).

106817886 is an abundant number, since it is smaller than the sum of its proper divisors (183486114).

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

106817886 is a wasteful number, since it uses less digits than its factorization.

106817886 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 106817886 is about 10335.2738715527. The cubic root of 106817886 is about 474.4764477060.

The spelling of 106817886 in words is "one hundred six million, eight hundred seventeen thousand, eight hundred eighty-six".