4966100 has 36 divisors (see below), whose sum is σ = 10991484. Its totient is φ = 1946880.

The previous prime is 4966099. The next prime is 4966123. The reversal of 4966100 is 16694.

It can be written as a sum of positive squares in 6 ways, for example, as 446224 + 4519876 = 668^2 + 2126^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4966100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4832 + ... + 5768.

It is an arithmetic number, because the mean of its divisors is an integer number (305319).

Almost surely, 2^4966100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4966100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5495742).

4966100 is an abundant number, since it is smaller than the sum of its proper divisors (6025384).

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

4966100 is a wasteful number, since it uses less digits than its factorization.

4966100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 4966100 is about 2228.4748147556. The cubic root of 4966100 is about 170.6102634117.

The spelling of 4966100 in words is "four million, nine hundred sixty-six thousand, one hundred".