105703680 has 72 divisors (see below), whose sum is σ = 337603392. Its totient is φ = 28186624.

The previous prime is 105703673. The next prime is 105703681. The reversal of 105703680 is 86307501.

It is a super-2 number, since 2×105703680² = 22346535931084800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (105703681) 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, 9924 + ... + 17603.

It is an arithmetic number, because the mean of its divisors is an integer number (4688936).

Almost surely, 2^105703680 is an apocalyptic number.

105703680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105703680 is an abundant number, since it is smaller than the sum of its proper divisors (231899712).

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

105703680 is an equidigital number, since it uses as much as digits as its factorization.

105703680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27551 (or 27537 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 105703680 is about 10281.2294984598. The cubic root of 105703680 is about 472.8209403777.

The spelling of 105703680 in words is "one hundred five million, seven hundred three thousand, six hundred eighty".