105682420 has 36 divisors (see below), whose sum is σ = 227981124. Its totient is φ = 41127040.

The previous prime is 105682417. The next prime is 105682453. The reversal of 105682420 is 24286501.

It can be written as a sum of positive squares in 2 ways, for example, as 18558864 + 87123556 = 4308^2 + 9334^2 .

It is a super-2 number, since 2×105682420² = 22337547794112800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 294201 + ... + 294559.

It is an arithmetic number, because the mean of its divisors is an integer number (6332809).

Almost surely, 2^105682420 is an apocalyptic number.

105682420 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 105682420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113990562).

105682420 is an abundant number, since it is smaller than the sum of its proper divisors (122298704).

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

105682420 is an equidigital number, since it uses as much as digits as its factorization.

105682420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 105682420 is about 10280.1955234324. The cubic root of 105682420 is about 472.7892390304.

The spelling of 105682420 in words is "one hundred five million, six hundred eighty-two thousand, four hundred twenty".