106534200 has 96 divisors (see below), whose sum is σ = 331965360. Its totient is φ = 28262400.

The previous prime is 106534163. The next prime is 106534201. The reversal of 106534200 is 2435601.

It is a happy number.

It is a super-2 number, since 2×106534200² = 22699071539280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106534201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 165880 + ... + 166520.

Almost surely, 2^106534200 is an apocalyptic number.

106534200 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 106534200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165982680).

106534200 is an abundant number, since it is smaller than the sum of its proper divisors (225431160).

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

106534200 is a wasteful number, since it uses less digits than its factorization.

106534200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 106534200 is about 10321.5405826844. The cubic root of 106534200 is about 474.0560385241.

Adding to 106534200 its reverse (2435601), we get a palindrome (108969801).

The spelling of 106534200 in words is "one hundred six million, five hundred thirty-four thousand, two hundred".