106862800 has 120 divisors (see below), whose sum is σ = 283687200. Its totient is φ = 38361600.

The previous prime is 106862773. The next prime is 106862803. The reversal of 106862800 is 8268601.

It is a super-2 number, since 2×106862800² = 22839316047680000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106862803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 655519 + ... + 655681.

It is an arithmetic number, because the mean of its divisors is an integer number (2364060).

Almost surely, 2^106862800 is an apocalyptic number.

106862800 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 106862800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141843600).

106862800 is an abundant number, since it is smaller than the sum of its proper divisors (176824400).

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

106862800 is a wasteful number, since it uses less digits than its factorization.

106862800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 106862800 is about 10337.4464932110. The cubic root of 106862800 is about 474.5429398446.

The spelling of 106862800 in words is "one hundred six million, eight hundred sixty-two thousand, eight hundred".