30938100 has 72 divisors (see below), whose sum is σ = 90077568. Its totient is φ = 8198400.

The previous prime is 30938081. The next prime is 30938107. The reversal of 30938100 is 183903.

It is a super-2 number, since 2×30938100² = 1914332063220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30938107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84117 + ... + 84483.

Almost surely, 2^30938100 is an apocalyptic number.

30938100 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 30938100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45038784).

30938100 is an abundant number, since it is smaller than the sum of its proper divisors (59139468).

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

30938100 is a wasteful number, since it uses less digits than its factorization.

30938100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 30938100 is about 5562.2028010492. The cubic root of 30938100 is about 313.9288383237.

The spelling of 30938100 in words is "thirty million, nine hundred thirty-eight thousand, one hundred".