105697680 has 80 divisors (see below), whose sum is σ = 357459264. Its totient is φ = 25623040.

The previous prime is 105697679. The next prime is 105697717. The reversal of 105697680 is 86796501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105697680² = 22343999114764800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 17379 + ... + 22658.

Almost surely, 2^105697680 is an apocalyptic number.

105697680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105697680 is an abundant number, since it is smaller than the sum of its proper divisors (251761584).

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

105697680 is a wasteful number, since it uses less digits than its factorization.

105697680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40064 (or 40058 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 105697680 is about 10280.9377004240. The cubic root of 105697680 is about 472.8119940498.

The spelling of 105697680 in words is "one hundred five million, six hundred ninety-seven thousand, six hundred eighty".