106380800 has 60 divisors (see below), whose sum is σ = 263598456. Its totient is φ = 42547200.

The previous prime is 106380797. The next prime is 106380803. The reversal of 106380800 is 8083601.

It is an interprime number because it is at equal distance from previous prime (106380797) and next prime (106380803).

It is a super-2 number, since 2×106380800² = 22633749217280000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106380800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106380803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8645 + ... + 16955.

Almost surely, 2^106380800 is an apocalyptic number.

106380800 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 106380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131799228).

106380800 is an abundant number, since it is smaller than the sum of its proper divisors (157217656).

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

106380800 is an frugal number, since it uses more digits than its factorization.

106380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8339 (or 8318 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 106380800 is about 10314.1068445115. The cubic root of 106380800 is about 473.8283960460.

The spelling of 106380800 in words is "one hundred six million, three hundred eighty thousand, eight hundred".