106750800 has 180 divisors, whose sum is σ = 399126364. Its totient is φ = 26265600.

The previous prime is 106750799. The next prime is 106750801. The reversal of 106750800 is 8057601.

It is an interprime number because it is at equal distance from previous prime (106750799) and next prime (106750801).

It can be written as a sum of positive squares in 6 ways, for example, as 8503056 + 98247744 = 2916^2 + 9912^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×106750800² = 22791466601280000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106750801) 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 35 ways as a sum of consecutive naturals, for example, 45660 + ... + 47940.

Almost surely, 2^106750800 is an apocalyptic number.

106750800 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 106750800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199563182).

106750800 is an abundant number, since it is smaller than the sum of its proper divisors (292375564).

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

106750800 is a wasteful number, since it uses less digits than its factorization.

106750800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 106750800 is about 10332.0278745269. The cubic root of 106750800 is about 474.3770967011.

The spelling of 106750800 in words is "one hundred six million, seven hundred fifty thousand, eight hundred".