30105241400 has 96 divisors (see below), whose sum is σ = 75885768000. Its totient is φ = 11041036800.

The previous prime is 30105241381. The next prime is 30105241423. The reversal of 30105241400 is 414250103.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 348545 + ... + 426255.

It is an arithmetic number, because the mean of its divisors is an integer number (790476750).

Almost surely, 2^30105241400 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 30105241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37942884000).

30105241400 is an abundant number, since it is smaller than the sum of its proper divisors (45780526600).

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

30105241400 is a wasteful number, since it uses less digits than its factorization.

30105241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77889 (or 77880 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 30105241400 its reverse (414250103), we get a palindrome (30519491503).

The spelling of 30105241400 in words is "thirty billion, one hundred five million, two hundred forty-one thousand, four hundred".