4968100 has 18 divisors (see below), whose sum is σ = 10780994. Its totient is φ = 1987200.

The previous prime is 4968059. The next prime is 4968109. The reversal of 4968100 is 18694.

It can be written as a sum of positive squares in 3 ways, for example, as 732736 + 4235364 = 856^2 + 2058^2 .

It is a super-2 number, since 2×4968100² = 49364035220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4968109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24741 + ... + 24940.

Almost surely, 2^4968100 is an apocalyptic number.

It is an amenable number.

4968100 is an abundant number, since it is smaller than the sum of its proper divisors (5812894).

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

4968100 is a wasteful number, since it uses less digits than its factorization.

4968100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49695 (or 49688 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 4968100 is about 2228.9235069872. The cubic root of 4968100 is about 170.6331636574.

The spelling of 4968100 in words is "four million, nine hundred sixty-eight thousand, one hundred".