105185840 has 20 divisors (see below), whose sum is σ = 244557264. Its totient is φ = 42074304.

The previous prime is 105185833. The next prime is 105185879. The reversal of 105185840 is 48581501.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×105185840² = 22128121873011200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105185797 and 105185806.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 657332 + ... + 657491.

Almost surely, 2^105185840 is an apocalyptic number.

105185840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105185840 is an abundant number, since it is smaller than the sum of its proper divisors (139371424).

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

105185840 is a wasteful number, since it uses less digits than its factorization.

105185840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314836 (or 1314830 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 32.

The square root of 105185840 is about 10256.0148205821. The cubic root of 105185840 is about 472.0475629557.

The spelling of 105185840 in words is "one hundred five million, one hundred eighty-five thousand, eight hundred forty".