105682302 has 48 divisors (see below), whose sum is σ = 264496752. Its totient is φ = 30140160.

The previous prime is 105682301. The next prime is 105682307. The reversal of 105682302 is 203286501.

It is a super-2 number, since 2×105682302² = 22337497912038408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105682301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12333 + ... + 19064.

It is an arithmetic number, because the mean of its divisors is an integer number (5510349).

Almost surely, 2^105682302 is an apocalyptic number.

105682302 is an abundant number, since it is smaller than the sum of its proper divisors (158814450).

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

105682302 is a wasteful number, since it uses less digits than its factorization.

105682302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31433 (or 31430 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 105682302 is about 10280.1897842404. The cubic root of 105682302 is about 472.7890630657.

The spelling of 105682302 in words is "one hundred five million, six hundred eighty-two thousand, three hundred two".