106288056 has 144 divisors (see below), whose sum is σ = 342519840. Its totient is φ = 29675520.

The previous prime is 106288019. The next prime is 106288067. The reversal of 106288056 is 650882601.

It is a happy number.

It is a super-2 number, since 2×106288056² = 22594301696518272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106288056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165496 + ... + 166136.

It is an arithmetic number, because the mean of its divisors is an integer number (2378610).

Almost surely, 2^106288056 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 106288056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171259920).

106288056 is an abundant number, since it is smaller than the sum of its proper divisors (236231784).

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

106288056 is a wasteful number, since it uses less digits than its factorization.

106288056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 106288056 is about 10309.6098859268. The cubic root of 106288056 is about 473.6906596705.

The spelling of 106288056 in words is "one hundred six million, two hundred eighty-eight thousand, fifty-six".