30050100 has 108 divisors (see below), whose sum is σ = 95225676. Its totient is φ = 7925760.

The previous prime is 30050087. The next prime is 30050107. The reversal of 30050100 is 105003.

It can be written as a sum of positive squares in 6 ways, for example, as 41616 + 30008484 = 204^2 + 5478^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30050107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 155604 + ... + 155796.

Almost surely, 2^30050100 is an apocalyptic number.

30050100 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 30050100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47612838).

30050100 is an abundant number, since it is smaller than the sum of its proper divisors (65175576).

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

30050100 is a wasteful number, since it uses less digits than its factorization.

30050100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 30050100 is about 5481.7971505702. The cubic root of 30050100 is about 310.8961236746.

Adding to 30050100 its reverse (105003), we get a palindrome (30155103).

The spelling of 30050100 in words is "thirty million, fifty thousand, one hundred".