105832940 has 12 divisors (see below), whose sum is σ = 222249216. Its totient is φ = 42333168.

The previous prime is 105832927. The next prime is 105832943. The reversal of 105832940 is 49238501.

It is a super-2 number, since 2×105832940² = 22401222378087200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105832897 and 105832906.

It is not an unprimeable number, because it can be changed into a prime (105832943) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2645804 + ... + 2645843.

It is an arithmetic number, because the mean of its divisors is an integer number (18520768).

Almost surely, 2^105832940 is an apocalyptic number.

105832940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105832940 is an abundant number, since it is smaller than the sum of its proper divisors (116416276).

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

105832940 is a wasteful number, since it uses less digits than its factorization.

105832940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5291656 (or 5291654 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 105832940 is about 10287.5137909993. The cubic root of 105832940 is about 473.0135919466.

The spelling of 105832940 in words is "one hundred five million, eight hundred thirty-two thousand, nine hundred forty".