106775250 has 128 divisors (see below), whose sum is σ = 287539200. Its totient is φ = 26308800.

The previous prime is 106775233. The next prime is 106775257. The reversal of 106775250 is 52577601.

It is a super-2 number, since 2×106775250² = 22801908025125000, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106775257) 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 63 ways as a sum of consecutive naturals, for example, 840687 + ... + 840813.

It is an arithmetic number, because the mean of its divisors is an integer number (2246400).

Almost surely, 2^106775250 is an apocalyptic number.

106775250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106775250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143769600).

106775250 is an abundant number, since it is smaller than the sum of its proper divisors (180763950).

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

106775250 is a wasteful number, since it uses less digits than its factorization.

106775250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 33.

The square root of 106775250 is about 10333.2110207815. The cubic root of 106775250 is about 474.4133107455.

The spelling of 106775250 in words is "one hundred six million, seven hundred seventy-five thousand, two hundred fifty".