105682680 has 96 divisors (see below), whose sum is σ = 345767760. Its totient is φ = 27993600.

The previous prime is 105682657. The next prime is 105682697. The reversal of 105682680 is 86286501.

It is a happy number.

105682680 is a `hidden beast` number, since 10 + 568 + 2 + 6 + 80 = 666.

It is a super-2 number, since 2×105682680² = 22337657703964800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57780 + ... + 59580.

Almost surely, 2^105682680 is an apocalyptic number.

105682680 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 105682680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172883880).

105682680 is an abundant number, since it is smaller than the sum of its proper divisors (240085080).

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

105682680 is a wasteful number, since it uses less digits than its factorization.

105682680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 105682680 is about 10280.2081690985. The cubic root of 105682680 is about 472.7896267490.

The spelling of 105682680 in words is "one hundred five million, six hundred eighty-two thousand, six hundred eighty".