106642200 has 96 divisors (see below), whose sum is σ = 377832960. Its totient is φ = 24374400.

The previous prime is 106642199. The next prime is 106642223. The reversal of 106642200 is 2246601.

It is a happy number.

It is a super-2 number, since 2×106642200² = 22745117641680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 8496 + ... + 16895.

It is an arithmetic number, because the mean of its divisors is an integer number (3935760).

Almost surely, 2^106642200 is an apocalyptic number.

106642200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106642200 is an abundant number, since it is smaller than the sum of its proper divisors (271190760).

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

106642200 is a wasteful number, since it uses less digits than its factorization.

106642200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25417 (or 25408 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 106642200 is about 10326.7710345490. The cubic root of 106642200 is about 474.2161772747.

Adding to 106642200 its reverse (2246601), we get a palindrome (108888801).

The spelling of 106642200 in words is "one hundred six million, six hundred forty-two thousand, two hundred".