105902984 has 16 divisors (see below), whose sum is σ = 216619920. Its totient is φ = 48137680.

The previous prime is 105902977. The next prime is 105902987. The reversal of 105902984 is 489209501.

It is a super-2 number, since 2×105902984² = 22430884040208512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105902987) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 601634 + ... + 601809.

It is an arithmetic number, because the mean of its divisors is an integer number (13538745).

Almost surely, 2^105902984 is an apocalyptic number.

It is an amenable number.

105902984 is an abundant number, since it is smaller than the sum of its proper divisors (110716936).

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

105902984 is a wasteful number, since it uses less digits than its factorization.

105902984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203460 (or 1203456 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 105902984 is about 10290.9175489846. The cubic root of 105902984 is about 473.1179213342.

The spelling of 105902984 in words is "one hundred five million, nine hundred two thousand, nine hundred eighty-four".