103580664840 has 112 divisors (see below), whose sum is σ = 349424995500. Its totient is φ = 27621502848.

The previous prime is 103580664833. The next prime is 103580664871. The reversal of 103580664840 is 48466085301.

103580664840 is a `hidden beast` number, since 1 + 0 + 3 + 580 + 6 + 64 + 8 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102506267556 + 1074397284 = 320166^2 + 32778^2 .

It is a super-3 number, since 3×103580664840³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1746915 + ... + 1805234.

Almost surely, 2^103580664840 is an apocalyptic number.

103580664840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103580664840 is an abundant number, since it is smaller than the sum of its proper divisors (245844330660).

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

103580664840 is an equidigital number, since it uses as much as digits as its factorization.

103580664840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3552178 (or 3552159 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 103580664840 in words is "one hundred three billion, five hundred eighty million, six hundred sixty-four thousand, eight hundred forty".