106489656 has 96 divisors (see below), whose sum is σ = 354987360. Its totient is φ = 28083456.

The previous prime is 106489613. The next prime is 106489679. The reversal of 106489656 is 656984601.

106489656 is a `hidden beast` number, since 106 + 489 + 65 + 6 = 666.

It is a super-2 number, since 2×106489656² = 22680093669996672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1575 + ... + 14678.

It is an arithmetic number, because the mean of its divisors is an integer number (3697785).

Almost surely, 2^106489656 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 106489656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177493680).

106489656 is an abundant number, since it is smaller than the sum of its proper divisors (248497704).

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

106489656 is a wasteful number, since it uses less digits than its factorization.

106489656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16285 (or 16278 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 106489656 is about 10319.3825396678. The cubic root of 106489656 is about 473.9899586614.

The spelling of 106489656 in words is "one hundred six million, four hundred eighty-nine thousand, six hundred fifty-six".