5517103104 has 312 divisors, whose sum is σ = 17316691392. Its totient is φ = 1751777280.

The previous prime is 5517103103. The next prime is 5517103117. The reversal of 5517103104 is 4013017155.

5517103104 is a `hidden beast` number, since 551 + 7 + 1 + 0 + 3 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5517103103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22892424 + ... + 22892664.

It is an arithmetic number, because the mean of its divisors is an integer number (55502216).

Almost surely, 2^5517103104 is an apocalyptic number.

5517103104 is a gapful number since it is divisible by the number (54) 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 5517103104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8658345696).

5517103104 is an abundant number, since it is smaller than the sum of its proper divisors (11799588288).

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

5517103104 is an equidigital number, since it uses as much as digits as its factorization.

5517103104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 5517103104 is about 74277.2044708200. The cubic root of 5517103104 is about 1767.0019687457.

The spelling of 5517103104 in words is "five billion, five hundred seventeen million, one hundred three thousand, one hundred four".