106867200 has 360 divisors, whose sum is σ = 404911584. Its totient is φ = 24780800.

The previous prime is 106867193. The next prime is 106867217. The reversal of 106867200 is 2768601.

It is a happy number.

It is a super-2 number, since 2×106867200² = 22841196871680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4646389 + ... + 4646411.

Almost surely, 2^106867200 is an apocalyptic number.

106867200 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 106867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202455792).

106867200 is an abundant number, since it is smaller than the sum of its proper divisors (298044384).

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

106867200 is a wasteful number, since it uses less digits than its factorization.

106867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 106867200 is about 10337.6593095342. The cubic root of 106867200 is about 474.5494527449.

The spelling of 106867200 in words is "one hundred six million, eight hundred sixty-seven thousand, two hundred".