103666807296 has 240 divisors, whose sum is σ = 341160523704. Its totient is φ = 30020861952.

The previous prime is 103666807289. The next prime is 103666807319. The reversal of 103666807296 is 692708666301.

It can be written as a sum of positive squares in 4 ways, for example, as 103210557696 + 456249600 = 321264^2 + 21360^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 967470 + ... + 1069266.

Almost surely, 2^103666807296 is an apocalyptic number.

103666807296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103666807296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170580261852).

103666807296 is an abundant number, since it is smaller than the sum of its proper divisors (237493716408).

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

103666807296 is a wasteful number, since it uses less digits than its factorization.

103666807296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101851 (or 101832 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 103666807296 in words is "one hundred three billion, six hundred sixty-six million, eight hundred seven thousand, two hundred ninety-six".