105668280 has 64 divisors (see below), whose sum is σ = 352231200. Its totient is φ = 28177920.

The previous prime is 105668249. The next prime is 105668281. The reversal of 105668280 is 82866501.

It is a happy number.

105668280 is a `hidden beast` number, since 10 + 566 + 8 + 2 + 80 = 666.

It is a super-2 number, since 2×105668280² = 22331570796316800, 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 not an unprimeable number, because it can be changed into a prime (105668281) 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, 47841 + ... + 50000.

Almost surely, 2^105668280 is an apocalyptic number.

105668280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105668280 is an abundant number, since it is smaller than the sum of its proper divisors (246562920).

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

105668280 is a wasteful number, since it uses less digits than its factorization.

105668280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97861 (or 97851 counting only the distinct ones).

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

The square root of 105668280 is about 10279.5077703166. The cubic root of 105668280 is about 472.7681521489.

The spelling of 105668280 in words is "one hundred five million, six hundred sixty-eight thousand, two hundred eighty".