106334200 has 96 divisors (see below), whose sum is σ = 284981760. Its totient is φ = 36144000.

The previous prime is 106334183. The next prime is 106334219. The reversal of 106334200 is 2433601.

It is a super-2 number, since 2×106334200² = 22613924179280000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211149 + ... + 211651.

It is an arithmetic number, because the mean of its divisors is an integer number (2968560).

Almost surely, 2^106334200 is an apocalyptic number.

106334200 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 106334200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142490880).

106334200 is an abundant number, since it is smaller than the sum of its proper divisors (178647560).

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

106334200 is a wasteful number, since it uses less digits than its factorization.

106334200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 106334200 is about 10311.8475551183. The cubic root of 106334200 is about 473.7591992607.

Adding to 106334200 its reverse (2433601), we get a palindrome (108767801).

The spelling of 106334200 in words is "one hundred six million, three hundred thirty-four thousand, two hundred".