105866320 has 80 divisors (see below), whose sum is σ = 284981760. Its totient is φ = 35822592.

The previous prime is 105866317. The next prime is 105866329. The reversal of 105866320 is 23668501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105866320² = 22415355420684800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105866329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43044 + ... + 45436.

It is an arithmetic number, because the mean of its divisors is an integer number (3562272).

Almost surely, 2^105866320 is an apocalyptic number.

105866320 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 105866320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142490880).

105866320 is an abundant number, since it is smaller than the sum of its proper divisors (179115440).

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

105866320 is a wasteful number, since it uses less digits than its factorization.

105866320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492 (or 2486 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 105866320 is about 10289.1360181504. The cubic root of 105866320 is about 473.0633166479.

The spelling of 105866320 in words is "one hundred five million, eight hundred sixty-six thousand, three hundred twenty".