105807282 has 16 divisors (see below), whose sum is σ = 241845312. Its totient is φ = 30230640.

The previous prime is 105807277. The next prime is 105807287. The reversal of 105807282 is 282708501.

It is an interprime number because it is at equal distance from previous prime (105807277) and next prime (105807287).

It is a super-2 number, since 2×105807282² = 22390361848455048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105807287) 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, 1259569 + ... + 1259652.

It is an arithmetic number, because the mean of its divisors is an integer number (15115332).

Almost surely, 2^105807282 is an apocalyptic number.

105807282 is an abundant number, since it is smaller than the sum of its proper divisors (136038030).

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

105807282 is a wasteful number, since it uses less digits than its factorization.

105807282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2519233.

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 105807282 is about 10286.2666696912. The cubic root of 105807282 is about 472.9753632575.

The spelling of 105807282 in words is "one hundred five million, eight hundred seven thousand, two hundred eighty-two".