106780800 has 288 divisors, whose sum is σ = 410933520. Its totient is φ = 24299520.

The previous prime is 106780787. The next prime is 106780837. The reversal of 106780800 is 8087601.

It is a super-2 number, since 2×106780800² = 22804278497280000, which contains 22 as substring.

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

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, 470287 + ... + 470513.

Almost surely, 2^106780800 is an apocalyptic number.

106780800 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 106780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205466760).

106780800 is an abundant number, since it is smaller than the sum of its proper divisors (304152720).

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

106780800 is a wasteful number, since it uses less digits than its factorization.

106780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 106780800 is about 10333.4795688577. The cubic root of 106780800 is about 474.4215303415.

The spelling of 106780800 in words is "one hundred six million, seven hundred eighty thousand, eight hundred".