30086100 has 144 divisors (see below), whose sum is σ = 105618240. Its totient is φ = 7286400.

The previous prime is 30086099. The next prime is 30086117. The reversal of 30086100 is 168003.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 29194 + ... + 30206.

It is an arithmetic number, because the mean of its divisors is an integer number (733460).

Almost surely, 2^30086100 is an apocalyptic number.

30086100 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 30086100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52809120).

30086100 is an abundant number, since it is smaller than the sum of its proper divisors (75532140).

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

30086100 is a wasteful number, since it uses less digits than its factorization.

30086100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 30086100 is about 5485.0797624100. The cubic root of 30086100 is about 311.0202252470.

The spelling of 30086100 in words is "thirty million, eighty-six thousand, one hundred".