106267200 has 252 divisors, whose sum is σ = 380408688. Its totient is φ = 25958400.

The previous prime is 106267169. The next prime is 106267207. The reversal of 106267200 is 2762601.

It is a happy number.

It is a super-2 number, since 2×106267200² = 22585435591680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (106267207) 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, 811135 + ... + 811265.

Almost surely, 2^106267200 is an apocalyptic number.

106267200 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 106267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190204344).

106267200 is an abundant number, since it is smaller than the sum of its proper divisors (274141488).

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

106267200 is a wasteful number, since it uses less digits than its factorization.

106267200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 106267200 is about 10308.5983528315. The cubic root of 106267200 is about 473.6596748825.

The spelling of 106267200 in words is "one hundred six million, two hundred sixty-seven thousand, two hundred".