106270200 has 144 divisors (see below), whose sum is σ = 365456520. Its totient is φ = 27659520.

The previous prime is 106270169. The next prime is 106270207. The reversal of 106270200 is 2072601.

It is a happy number.

It is a super-2 number, since 2×106270200² = 22586710816080000, 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 (106270207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76714 + ... + 78086.

Almost surely, 2^106270200 is an apocalyptic number.

106270200 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 106270200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182728260).

106270200 is an abundant number, since it is smaller than the sum of its proper divisors (259186320).

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

106270200 is a wasteful number, since it uses less digits than its factorization.

106270200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1426 counting only the distinct ones).

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

The square root of 106270200 is about 10308.7438614023. The cubic root of 106270200 is about 473.6641320924.

The spelling of 106270200 in words is "one hundred six million, two hundred seventy thousand, two hundred".