105678420 has 24 divisors (see below), whose sum is σ = 295899744. Its totient is φ = 28180896.

The previous prime is 105678403. The next prime is 105678431. The reversal of 105678420 is 24876501.

It is a super-2 number, since 2×105678420² = 22335856907392800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 880594 + ... + 880713.

It is an arithmetic number, because the mean of its divisors is an integer number (12329156).

Almost surely, 2^105678420 is an apocalyptic number.

105678420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105678420 is an abundant number, since it is smaller than the sum of its proper divisors (190221324).

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

105678420 is a wasteful number, since it uses less digits than its factorization.

105678420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761319 (or 1761317 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 105678420 is about 10280.0009727626. Note that the first 3 decimals coincide. The cubic root of 105678420 is about 472.7832740496.

The spelling of 105678420 in words is "one hundred five million, six hundred seventy-eight thousand, four hundred twenty".