106306200 has 576 divisors, whose sum is σ = 487468800. Its totient is φ = 20044800.

The previous prime is 106306171. The next prime is 106306201. The reversal of 106306200 is 2603601.

It is a happy number.

106306200 is a `hidden beast` number, since 10 + 6 + 30 + 620 + 0 = 666.

It is a super-2 number, since 2×106306200² = 22602016316880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106306201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1801771 + ... + 1801829.

It is an arithmetic number, because the mean of its divisors is an integer number (846300).

Almost surely, 2^106306200 is an apocalyptic number.

106306200 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 106306200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243734400).

106306200 is an abundant number, since it is smaller than the sum of its proper divisors (381162600).

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

106306200 is a wasteful number, since it uses less digits than its factorization.

106306200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 106306200 is about 10310.4898040782. The cubic root of 106306200 is about 473.7176120696.

Adding to 106306200 its reverse (2603601), we get a palindrome (108909801).

The spelling of 106306200 in words is "one hundred six million, three hundred six thousand, two hundred".