106831566 has 48 divisors (see below), whose sum is σ = 244857600. Its totient is φ = 33569424.

The previous prime is 106831537. The next prime is 106831577. The reversal of 106831566 is 665138601.

It is a happy number.

106831566 is a `hidden beast` number, since 1 + 0 + 68 + 31 + 566 = 666.

It is a super-2 number, since 2×106831566² = 22825966988024712, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106831566.

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, 81085 + ... + 82391.

It is an arithmetic number, because the mean of its divisors is an integer number (5101200).

Almost surely, 2^106831566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106831566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122428800).

106831566 is an abundant number, since it is smaller than the sum of its proper divisors (138026034).

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

106831566 is a wasteful number, since it uses less digits than its factorization.

106831566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 106831566 is about 10335.9356615645. The cubic root of 106831566 is about 474.4967019942.

The spelling of 106831566 in words is "one hundred six million, eight hundred thirty-one thousand, five hundred sixty-six".