30104800 has 108 divisors (see below), whose sum is σ = 81041688. Its totient is φ = 10912000.

The previous prime is 30104761. The next prime is 30104827. The reversal of 30104800 is 840103.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 17 ways as a sum of consecutive naturals, for example, 96645 + ... + 96955.

It is an arithmetic number, because the mean of its divisors is an integer number (750386).

Almost surely, 2^30104800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30104800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40520844).

30104800 is an abundant number, since it is smaller than the sum of its proper divisors (50936888).

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

30104800 is a wasteful number, since it uses less digits than its factorization.

30104800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 30104800 is about 5486.7841218696. The cubic root of 30104800 is about 311.0846500548.

Adding to 30104800 its reverse (840103), we get a palindrome (30944903).

It can be divided in two parts, 3010 and 4800, that multiplied together give a triangular number (14448000 = T₅₃₇₅).

The spelling of 30104800 in words is "thirty million, one hundred four thousand, eight hundred".