105109144 has 16 divisors (see below), whose sum is σ = 225234000. Its totient is φ = 45046752.

The previous prime is 105109141. The next prime is 105109163. The reversal of 105109144 is 441901501.

It is a super-2 number, since 2×105109144² = 22095864304825472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105109141) 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, 938419 + ... + 938530.

It is an arithmetic number, because the mean of its divisors is an integer number (14077125).

Almost surely, 2^105109144 is an apocalyptic number.

105109144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105109144 is an abundant number, since it is smaller than the sum of its proper divisors (120124856).

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

105109144 is a wasteful number, since it uses less digits than its factorization.

105109144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876962 (or 1876958 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 105109144 is about 10252.2750645893. The cubic root of 105109144 is about 471.9328042808.

The spelling of 105109144 in words is "one hundred five million, one hundred nine thousand, one hundred forty-four".