105108984 has 48 divisors (see below), whose sum is σ = 287211600. Its totient is φ = 34723584.

The previous prime is 105108973. The next prime is 105109013. The reversal of 105108984 is 489801501.

It is a super-4 number, since 4×105108984⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1677 + ... + 14595.

It is an arithmetic number, because the mean of its divisors is an integer number (5983575).

Almost surely, 2^105108984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105108984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143605800).

105108984 is an abundant number, since it is smaller than the sum of its proper divisors (182102616).

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

105108984 is a wasteful number, since it uses less digits than its factorization.

105108984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13044 (or 13037 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 105108984 is about 10252.2672614403. The cubic root of 105108984 is about 471.9325648177.

The spelling of 105108984 in words is "one hundred five million, one hundred eight thousand, nine hundred eighty-four".