105405840 has 80 divisors (see below), whose sum is σ = 363072000. Its totient is φ = 28107648.

The previous prime is 105405823. The next prime is 105405851. The reversal of 105405840 is 48504501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105405840² = 22220782212211200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 22240 + ... + 26559.

It is an arithmetic number, because the mean of its divisors is an integer number (4538400).

Almost surely, 2^105405840 is an apocalyptic number.

105405840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105405840 is an abundant number, since it is smaller than the sum of its proper divisors (257666160).

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

105405840 is a wasteful number, since it uses less digits than its factorization.

105405840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48821 (or 48809 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 105405840 is about 10266.7346318097. The cubic root of 105405840 is about 472.3764353132.

The spelling of 105405840 in words is "one hundred five million, four hundred five thousand, eight hundred forty".