105943040 has 104 divisors (see below), whose sum is σ = 290944320. Its totient is φ = 36274176.

The previous prime is 105943009. The next prime is 105943043. The reversal of 105943040 is 40349501.

It is a super-2 number, since 2×105943040² = 22447855448883200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105943043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142991 + ... + 143729.

Almost surely, 2^105943040 is an apocalyptic number.

105943040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145472160).

105943040 is an abundant number, since it is smaller than the sum of its proper divisors (185001280).

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

105943040 is an frugal number, since it uses more digits than its factorization.

105943040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 105943040 is about 10292.8635471379. The cubic root of 105943040 is about 473.1775634139.

The spelling of 105943040 in words is "one hundred five million, nine hundred forty-three thousand, forty".