103666080 has 96 divisors (see below), whose sum is σ = 373209984. Its totient is φ = 23694336.

The previous prime is 103666063. The next prime is 103666093. The reversal of 103666080 is 80666301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×103666080³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12067 + ... + 18786.

It is an arithmetic number, because the mean of its divisors is an integer number (3887604).

Almost surely, 2^103666080 is an apocalyptic number.

103666080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103666080 is an abundant number, since it is smaller than the sum of its proper divisors (269543904).

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

103666080 is a wasteful number, since it uses less digits than its factorization.

103666080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30878 (or 30870 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 103666080 is about 10181.6540895868. The cubic root of 103666080 is about 469.7630917101.

The spelling of 103666080 in words is "one hundred three million, six hundred sixty-six thousand, eighty".