105882484 has 24 divisors (see below), whose sum is σ = 193265408. Its totient is φ = 50699520.

The previous prime is 105882481. The next prime is 105882487. The reversal of 105882484 is 484288501.

It is an interprime number because it is at equal distance from previous prime (105882481) and next prime (105882487).

It is a super-2 number, since 2×105882484² = 22422200836020512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105882481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7627 + ... + 16429.

Almost surely, 2^105882484 is an apocalyptic number.

It is an amenable number.

105882484 is a deficient number, since it is larger than the sum of its proper divisors (87382924).

105882484 is a wasteful number, since it uses less digits than its factorization.

105882484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8935 (or 8933 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 40.

The square root of 105882484 is about 10289.9214768627. The cubic root of 105882484 is about 473.0873916837.

The spelling of 105882484 in words is "one hundred five million, eight hundred eighty-two thousand, four hundred eighty-four".