30032100 has 216 divisors, whose sum is σ = 112805280. Its totient is φ = 6834240.

The previous prime is 30032099. The next prime is 30032113. The reversal of 30032100 is 123003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 132187 + ... + 132413.

Almost surely, 2^30032100 is an apocalyptic number.

30032100 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 30032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56402640).

30032100 is an abundant number, since it is smaller than the sum of its proper divisors (82773180).

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

30032100 is a wasteful number, since it uses less digits than its factorization.

30032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 30032100 is about 5480.1551072940. The cubic root of 30032100 is about 310.8340357175.

Adding to 30032100 its reverse (123003), we get a palindrome (30155103).

It can be divided in two parts, 300 and 32100, that added together give a square (32400 = 180²).

The spelling of 30032100 in words is "thirty million, thirty-two thousand, one hundred".