106883712 has 240 divisors, whose sum is σ = 350080830. Its totient is φ = 32348160.

The previous prime is 106883663. The next prime is 106883717. The reversal of 106883712 is 217388601.

It can be written as a sum of positive squares in 3 ways, for example, as 23270976 + 83612736 = 4824^2 + 9144^2 .

It is a super-2 number, since 2×106883712² = 22848255781797888, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106883717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1752162 + ... + 1752222.

Almost surely, 2^106883712 is an apocalyptic number.

106883712 is a gapful number since it is divisible by the number (12) 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 106883712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175040415).

106883712 is an abundant number, since it is smaller than the sum of its proper divisors (243197118).

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

106883712 is an equidigital number, since it uses as much as digits as its factorization.

106883712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 106883712 is about 10338.4579120873. The cubic root of 106883712 is about 474.5738922892.

It can be divided in two parts, 10688 and 3712, that added together give a square (14400 = 120²).

The spelling of 106883712 in words is "one hundred six million, eight hundred eighty-three thousand, seven hundred twelve".