105849940 has 48 divisors (see below), whose sum is σ = 254846592. Its totient is φ = 36176256.

The previous prime is 105849929. The next prime is 105849941. The reversal of 105849940 is 49948501.

It is a super-2 number, since 2×105849940² = 22408419596007200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 105849893 and 105849902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105849941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51207 + ... + 53233.

It is an arithmetic number, because the mean of its divisors is an integer number (5309304).

Almost surely, 2^105849940 is an apocalyptic number.

105849940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105849940 is an abundant number, since it is smaller than the sum of its proper divisors (148996652).

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

105849940 is a wasteful number, since it uses less digits than its factorization.

105849940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 105849940 is about 10288.3400021578. The cubic root of 105849940 is about 473.0389173968.

The spelling of 105849940 in words is "one hundred five million, eight hundred forty-nine thousand, nine hundred forty".