106228800 has 168 divisors, whose sum is σ = 387400800. Its totient is φ = 28316160.

The previous prime is 106228799. The next prime is 106228819. The reversal of 106228800 is 8822601.

It is a super-2 number, since 2×106228800² = 22569115898880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 41971 + ... + 44429.

Almost surely, 2^106228800 is an apocalyptic number.

106228800 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 106228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193700400).

106228800 is an abundant number, since it is smaller than the sum of its proper divisors (281172000).

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

106228800 is a wasteful number, since it uses less digits than its factorization.

106228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 106228800 is about 10306.7356616923. The cubic root of 106228800 is about 473.6026151852.

The spelling of 106228800 in words is "one hundred six million, two hundred twenty-eight thousand, eight hundred".