105690080 has 24 divisors (see below), whose sum is σ = 249693192. Its totient is φ = 42275968.

The previous prime is 105690077. The next prime is 105690089. The reversal of 105690080 is 80096501.

It is a super-2 number, since 2×105690080² = 22340786020812800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105690089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 330122 + ... + 330441.

It is an arithmetic number, because the mean of its divisors is an integer number (10403883).

Almost surely, 2^105690080 is an apocalyptic number.

105690080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105690080 is an abundant number, since it is smaller than the sum of its proper divisors (144003112).

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

105690080 is an equidigital number, since it uses as much as digits as its factorization.

105690080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660578 (or 660570 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 105690080 is about 10280.5680776891. The cubic root of 105690080 is about 472.8006615486.

The spelling of 105690080 in words is "one hundred five million, six hundred ninety thousand, eighty".