30042100 has 72 divisors (see below), whose sum is σ = 73495296. Its totient is φ = 10560000.

The previous prime is 30042049. The next prime is 30042101. The reversal of 30042100 is 124003.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30042101) 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, 33660 + ... + 34540.

It is an arithmetic number, because the mean of its divisors is an integer number (1020768).

Almost surely, 2^30042100 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 30042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36747648).

30042100 is an abundant number, since it is smaller than the sum of its proper divisors (43453196).

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

30042100 is a wasteful number, since it uses less digits than its factorization.

30042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 30042100 is about 5481.0674142908. The cubic root of 30042100 is about 310.8685320888.

Adding to 30042100 its reverse (124003), we get a palindrome (30166103).

The spelling of 30042100 in words is "thirty million, forty-two thousand, one hundred".