30240100 has 72 divisors (see below), whose sum is σ = 73620288. Its totient is φ = 10684800.

The previous prime is 30240073. The next prime is 30240103. The reversal of 30240100 is 104203.

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

It is not an unprimeable number, because it can be changed into a prime (30240103) 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, 40329 + ... + 41071.

It is an arithmetic number, because the mean of its divisors is an integer number (1022504).

Almost surely, 2^30240100 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 30240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36810144).

30240100 is an abundant number, since it is smaller than the sum of its proper divisors (43380188).

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

30240100 is a wasteful number, since it uses less digits than its factorization.

30240100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 798 counting only the distinct ones).

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

The square root of 30240100 is about 5499.0999263516. The cubic root of 30240100 is about 311.5499895296.

Adding to 30240100 its reverse (104203), we get a palindrome (30344303).

The spelling of 30240100 in words is "thirty million, two hundred forty thousand, one hundred".