105088984 has 96 divisors (see below), whose sum is σ = 266787360. Its totient is φ = 37762560.

The previous prime is 105088979. The next prime is 105088999. The reversal of 105088984 is 489880501.

It is a super-2 number, since 2×105088984² = 22087389116304512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105088984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87492 + ... + 88684.

It is an arithmetic number, because the mean of its divisors is an integer number (2779035).

Almost surely, 2^105088984 is an apocalyptic number.

105088984 is a gapful number since it is divisible by the number (14) 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 105088984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133393680).

105088984 is an abundant number, since it is smaller than the sum of its proper divisors (161698376).

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

105088984 is a wasteful number, since it uses less digits than its factorization.

105088984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 43.

The square root of 105088984 is about 10251.2918210341. The cubic root of 105088984 is about 471.9026300152.

The spelling of 105088984 in words is "one hundred five million, eighty-eight thousand, nine hundred eighty-four".