105107680 has 24 divisors (see below), whose sum is σ = 248317272. Its totient is φ = 42043008.

The previous prime is 105107669. The next prime is 105107731. The reversal of 105107680 is 86701501.

It is a happy number.

It is a super-2 number, since 2×105107680² = 22095248789964800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 328302 + ... + 328621.

It is an arithmetic number, because the mean of its divisors is an integer number (10346553).

Almost surely, 2^105107680 is an apocalyptic number.

105107680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105107680 is an abundant number, since it is smaller than the sum of its proper divisors (143209592).

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

105107680 is an equidigital number, since it uses as much as digits as its factorization.

105107680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656938 (or 656930 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 105107680 is about 10252.2036655541. The cubic root of 105107680 is about 471.9306131843.

The spelling of 105107680 in words is "one hundred five million, one hundred seven thousand, six hundred eighty".