106702200 has 288 divisors, whose sum is σ = 415218960. Its totient is φ = 24268800.

The previous prime is 106702181. The next prime is 106702207. The reversal of 106702200 is 2207601.

It is a happy number.

It is a super-2 number, since 2×106702200² = 22770718969680000, 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 (106702207) 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 71 ways as a sum of consecutive naturals, for example, 336442 + ... + 336758.

Almost surely, 2^106702200 is an apocalyptic number.

106702200 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 106702200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207609480).

106702200 is an abundant number, since it is smaller than the sum of its proper divisors (308516760).

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

106702200 is a wasteful number, since it uses less digits than its factorization.

106702200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 106702200 is about 10329.6756967487. The cubic root of 106702200 is about 474.3050965335.

Adding to 106702200 its reverse (2207601), we get a palindrome (108909801).

The spelling of 106702200 in words is "one hundred six million, seven hundred two thousand, two hundred".