105289840 has 40 divisors (see below), whose sum is σ = 259202160. Its totient is φ = 39638016.

The previous prime is 105289829. The next prime is 105289841. The reversal of 105289840 is 48982501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105289840² = 22171900814451200, 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 105289840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105289841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37350 + ... + 40069.

It is an arithmetic number, because the mean of its divisors is an integer number (6480054).

Almost surely, 2^105289840 is an apocalyptic number.

105289840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105289840 is an abundant number, since it is smaller than the sum of its proper divisors (153912320).

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

105289840 is a wasteful number, since it uses less digits than its factorization.

105289840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77449 (or 77443 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 105289840 is about 10261.0837634238. The cubic root of 105289840 is about 472.2030869806.

The spelling of 105289840 in words is "one hundred five million, two hundred eighty-nine thousand, eight hundred forty".