106283840 has 112 divisors (see below), whose sum is σ = 282275280. Its totient is φ = 37847040.

The previous prime is 106283833. The next prime is 106283843. The reversal of 106283840 is 48382601.

It can be written as a sum of positive squares in 8 ways, for example, as 18524416 + 87759424 = 4304^2 + 9368^2 .

It is a super-2 number, since 2×106283840² = 22592509290291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 106283797 and 106283806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106283843) 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 15 ways as a sum of consecutive naturals, for example, 120200 + ... + 121080.

It is an arithmetic number, because the mean of its divisors is an integer number (2520315).

Almost surely, 2^106283840 is an apocalyptic number.

106283840 is a gapful number since it is divisible by the number (10) 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 106283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141137640).

106283840 is an abundant number, since it is smaller than the sum of its proper divisors (175991440).

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

106283840 is a wasteful number, since it uses less digits than its factorization.

106283840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 106283840 is about 10309.4054144747. The cubic root of 106283840 is about 473.6843964825.

The spelling of 106283840 in words is "one hundred six million, two hundred eighty-three thousand, eight hundred forty".