106315200 has 336 divisors, whose sum is σ = 408188160. Its totient is φ = 26864640.

The previous prime is 106315199. The next prime is 106315207. The reversal of 106315200 is 2513601.

106315200 is a `hidden beast` number, since 10 + 631 + 5 + 20 + 0 = 666.

It is a super-2 number, since 2×106315200² = 22605843502080000, 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 (106315207) 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 47 ways as a sum of consecutive naturals, for example, 993547 + ... + 993653.

Almost surely, 2^106315200 is an apocalyptic number.

106315200 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 106315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204094080).

106315200 is an abundant number, since it is smaller than the sum of its proper divisors (301872960).

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

106315200 is a wasteful number, since it uses less digits than its factorization.

106315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 106315200 is about 10310.9262435535. The cubic root of 106315200 is about 473.7309801773.

Adding to 106315200 its reverse (2513601), we get a palindrome (108828801).

The spelling of 106315200 in words is "one hundred six million, three hundred fifteen thousand, two hundred".