105682104 has 128 divisors (see below), whose sum is σ = 337248000. Its totient is φ = 30326400.

The previous prime is 105682103. The next prime is 105682121. The reversal of 105682104 is 401286501.

It is a super-2 number, since 2×105682104² = 22337414211733632, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105682103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43974 + ... + 46314.

It is an arithmetic number, because the mean of its divisors is an integer number (2634750).

Almost surely, 2^105682104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105682104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168624000).

105682104 is an abundant number, since it is smaller than the sum of its proper divisors (231565896).

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

105682104 is a wasteful number, since it uses less digits than its factorization.

105682104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 105682104 is about 10280.1801540634. The cubic root of 105682104 is about 472.7887678024.

The spelling of 105682104 in words is "one hundred five million, six hundred eighty-two thousand, one hundred four".