105083712 has 84 divisors (see below), whose sum is σ = 302852836. Its totient is φ = 34836480.

The previous prime is 105083687. The next prime is 105083717. The reversal of 105083712 is 217380501.

It can be written as a sum of positive squares in 2 ways, for example, as 72182016 + 32901696 = 8496^2 + 5736^2 .

It is a super-2 number, since 2×105083712² = 22085173055397888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105083717) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 138438 + ... + 139194.

Almost surely, 2^105083712 is an apocalyptic number.

105083712 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 105083712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151426418).

105083712 is an abundant number, since it is smaller than the sum of its proper divisors (197769124).

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

105083712 is a wasteful number, since it uses less digits than its factorization.

105083712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 105083712 is about 10251.0346794848. The cubic root of 105083712 is about 471.8947385688.

The spelling of 105083712 in words is "one hundred five million, eighty-three thousand, seven hundred twelve".