4995100 has 72 divisors (see below), whose sum is σ = 12499200. Its totient is φ = 1713600.

The previous prime is 4995097. The next prime is 4995101. The reversal of 4995100 is 15994.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4995101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20781 + ... + 21019.

It is an arithmetic number, because the mean of its divisors is an integer number (173600).

Almost surely, 2^4995100 is an apocalyptic number.

4995100 is the 1195-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4995100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6249600).

4995100 is an abundant number, since it is smaller than the sum of its proper divisors (7504100).

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

4995100 is a wasteful number, since it uses less digits than its factorization.

4995100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 4995100 is about 2234.9720356192. The cubic root of 4995100 is about 170.9417171961.

The spelling of 4995100 in words is "four million, nine hundred ninety-five thousand, one hundred".