3005100 has 180 divisors, whose sum is σ = 11343024. Its totient is φ = 673920.

The previous prime is 3005087. The next prime is 3005117. The reversal of 3005100 is 15003.

It is a tau number, because it is divible by the number of its divisors (180).

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

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 59 ways as a sum of consecutive naturals, for example, 56674 + ... + 56726.

Almost surely, 2^3005100 is an apocalyptic number.

3005100 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 3005100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5671512).

3005100 is an abundant number, since it is smaller than the sum of its proper divisors (8337924).

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

3005100 is a wasteful number, since it uses less digits than its factorization.

3005100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 70 counting only the distinct ones).

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

The square root of 3005100 is about 1733.5224255832. The cubic root of 3005100 is about 144.3066382378.

The spelling of 3005100 in words is "three million, five thousand, one hundred".