105109984 has 24 divisors (see below), whose sum is σ = 236497968. Its totient is φ = 45047040.

The previous prime is 105109973. The next prime is 105109987. The reversal of 105109984 is 489901501.

It is a super-2 number, since 2×105109984² = 22096217472960512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105109987) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 234397 + ... + 234844.

It is an arithmetic number, because the mean of its divisors is an integer number (9854082).

Almost surely, 2^105109984 is an apocalyptic number.

105109984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105109984 is an abundant number, since it is smaller than the sum of its proper divisors (131387984).

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

105109984 is an equidigital number, since it uses as much as digits as its factorization.

105109984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469258 (or 469250 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 37.

The square root of 105109984 is about 10252.3160310244. The cubic root of 105109984 is about 471.9340614581.

The spelling of 105109984 in words is "one hundred five million, one hundred nine thousand, nine hundred eighty-four".