105682390 has 32 divisors (see below), whose sum is σ = 212357376. Its totient is φ = 37534560.

The previous prime is 105682337. The next prime is 105682399. The reversal of 105682390 is 93286501.

It is a super-2 number, since 2×105682390² = 22337535112224200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105682399) 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, 6442 + ... + 15901.

It is an arithmetic number, because the mean of its divisors is an integer number (6636168).

Almost surely, 2^105682390 is an apocalyptic number.

105682390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105682390 is an abundant number, since it is smaller than the sum of its proper divisors (106674986).

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

105682390 is a wasteful number, since it uses less digits than its factorization.

105682390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22404.

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 105682390 is about 10280.1940643161. The cubic root of 105682390 is about 472.7891942936.

The spelling of 105682390 in words is "one hundred five million, six hundred eighty-two thousand, three hundred ninety".