103148804304 has 360 divisors, whose sum is σ = 367165833216. Its totient is φ = 26323315200.

The previous prime is 103148804279. The next prime is 103148804327. The reversal of 103148804304 is 403408841301.

103148804304 is a `hidden beast` number, since 1 + 0 + 3 + 148 + 80 + 430 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12588849 + ... + 12597039.

Almost surely, 2^103148804304 is an apocalyptic number.

103148804304 is a gapful number since it is divisible by the number (14) 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 103148804304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183582916608).

103148804304 is an abundant number, since it is smaller than the sum of its proper divisors (264017028912).

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

103148804304 is a wasteful number, since it uses less digits than its factorization.

103148804304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8287 (or 8247 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 103148804304 in words is "one hundred three billion, one hundred forty-eight million, eight hundred four thousand, three hundred four".