30105420 has 96 divisors (see below), whose sum is σ = 88252416. Its totient is φ = 7660800.

The previous prime is 30105409. The next prime is 30105437. The reversal of 30105420 is 2450103.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30105420.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157525 + ... + 157715.

It is an arithmetic number, because the mean of its divisors is an integer number (919296).

Almost surely, 2^30105420 is an apocalyptic number.

30105420 is a gapful number since it is divisible by the number (30) 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 30105420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44126208).

30105420 is an abundant number, since it is smaller than the sum of its proper divisors (58146996).

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

30105420 is a wasteful number, since it uses less digits than its factorization.

30105420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 30105420 is about 5486.8406209767. The cubic root of 30105420 is about 311.0867856075.

Adding to 30105420 its reverse (2450103), we get a palindrome (32555523).

The spelling of 30105420 in words is "thirty million, one hundred five thousand, four hundred twenty".