106238200 has 48 divisors (see below), whose sum is σ = 248008680. Its totient is φ = 42322560.

The previous prime is 106238191. The next prime is 106238207. The reversal of 106238200 is 2832601.

It is a super-2 number, since 2×106238200² = 22573110278480000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106238207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55662 + ... + 57538.

Almost surely, 2^106238200 is an apocalyptic number.

106238200 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 106238200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124004340).

106238200 is an abundant number, since it is smaller than the sum of its proper divisors (141770480).

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

106238200 is a wasteful number, since it uses less digits than its factorization.

106238200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2176 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 106238200 is about 10307.1916640761. The cubic root of 106238200 is about 473.6165841945.

The spelling of 106238200 in words is "one hundred six million, two hundred thirty-eight thousand, two hundred".