106413384 has 128 divisors (see below), whose sum is σ = 335923200. Its totient is φ = 27287040.

The previous prime is 106413301. The next prime is 106413397. The reversal of 106413384 is 483314601.

It is a super-2 number, since 2×106413384² = 22647616588662912, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164149 + ... + 164795.

It is an arithmetic number, because the mean of its divisors is an integer number (2624400).

Almost surely, 2^106413384 is an apocalyptic number.

106413384 is a gapful number since it is divisible by the number (14) 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 106413384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167961600).

106413384 is an abundant number, since it is smaller than the sum of its proper divisors (229509816).

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

106413384 is a wasteful number, since it uses less digits than its factorization.

106413384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 106413384 is about 10315.6863077548. The cubic root of 106413384 is about 473.8767683350.

Adding to 106413384 its reverse (483314601), we get a palindrome (589727985).

The spelling of 106413384 in words is "one hundred six million, four hundred thirteen thousand, three hundred eighty-four".