105803680 has 48 divisors (see below), whose sum is σ = 260838144. Its totient is φ = 40480000.

The previous prime is 105803671. The next prime is 105803681. The reversal of 105803680 is 86308501.

It is a super-2 number, since 2×105803680² = 22388837403084800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105803681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10696 + ... + 18055.

It is an arithmetic number, because the mean of its divisors is an integer number (5434128).

Almost surely, 2^105803680 is an apocalyptic number.

105803680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105803680 is an abundant number, since it is smaller than the sum of its proper divisors (155034464).

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

105803680 is a wasteful number, since it uses less digits than its factorization.

105803680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28789 (or 28781 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 105803680 is about 10286.0915803817. The cubic root of 105803680 is about 472.9699960258.

The spelling of 105803680 in words is "one hundred five million, eight hundred three thousand, six hundred eighty".