106383600 has 180 divisors, whose sum is σ = 382285800. Its totient is φ = 27363840.

The previous prime is 106383593. The next prime is 106383647. The reversal of 106383600 is 6383601.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×106383600² = 22634940697920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 103891 + ... + 104909.

It is an arithmetic number, because the mean of its divisors is an integer number (2123810).

Almost surely, 2^106383600 is an apocalyptic number.

106383600 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 106383600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191142900).

106383600 is an abundant number, since it is smaller than the sum of its proper divisors (275902200).

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

106383600 is a wasteful number, since it uses less digits than its factorization.

106383600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 106383600 is about 10314.2425800444. The cubic root of 106383600 is about 473.8325531492.

Subtracting from 106383600 its reverse (6383601), we obtain a palindrome (99999999).

The spelling of 106383600 in words is "one hundred six million, three hundred eighty-three thousand, six hundred".