106083856 has 40 divisors (see below), whose sum is σ = 214908120. Its totient is φ = 50663424.

The previous prime is 106083839. The next prime is 106083871. The reversal of 106083856 is 658380601.

It can be written as a sum of positive squares in 4 ways, for example, as 4477456 + 101606400 = 2116^2 + 10080^2 .

It is a super-2 number, since 2×106083856² = 22507569007657472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43830 + ... + 46186.

It is an arithmetic number, because the mean of its divisors is an integer number (5372703).

Almost surely, 2^106083856 is an apocalyptic number.

106083856 is a gapful number since it is divisible by the number (16) 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 106083856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107454060).

106083856 is an abundant number, since it is smaller than the sum of its proper divisors (108824264).

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

106083856 is a wasteful number, since it uses less digits than its factorization.

106083856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491 (or 2485 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 106083856 is about 10299.7017432545. The cubic root of 106083856 is about 473.3871146102.

The spelling of 106083856 in words is "one hundred six million, eighty-three thousand, eight hundred fifty-six".