105880320 has 432 divisors, whose sum is σ = 455337792. Its totient is φ = 22118400.

The previous prime is 105880289. The next prime is 105880321. The reversal of 105880320 is 23088501.

It is a happy number.

It is a super-2 number, since 2×105880320² = 22421284326604800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105880321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1048270 + ... + 1048370.

Almost surely, 2^105880320 is an apocalyptic number.

105880320 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 105880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227668896).

105880320 is an abundant number, since it is smaller than the sum of its proper divisors (349457472).

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

105880320 is a wasteful number, since it uses less digits than its factorization.

105880320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 105880320 is about 10289.8163248913. The cubic root of 105880320 is about 473.0841687141.

The spelling of 105880320 in words is "one hundred five million, eight hundred eighty thousand, three hundred twenty".