105882984 has 64 divisors (see below), whose sum is σ = 306921600. Its totient is φ = 33758208.

The previous prime is 105882983. The next prime is 105883013. The reversal of 105882984 is 489288501.

It is a happy number.

It is a super-2 number, since 2×105882984² = 22422412601488512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105882983) 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, 5689 + ... + 15624.

It is an arithmetic number, because the mean of its divisors is an integer number (4795650).

Almost surely, 2^105882984 is an apocalyptic number.

It is an amenable number.

105882984 is an abundant number, since it is smaller than the sum of its proper divisors (201038616).

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

105882984 is a wasteful number, since it uses less digits than its factorization.

105882984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21351 (or 21341 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 105882984 is about 10289.9457724519. The cubic root of 105882984 is about 473.0881363562.

The spelling of 105882984 in words is "one hundred five million, eight hundred eighty-two thousand, nine hundred eighty-four".