4932100 has 72 divisors (see below), whose sum is σ = 11610368. Its totient is φ = 1814400.

The previous prime is 4932089. The next prime is 4932101. The reversal of 4932100 is 12394.

It is a super-2 number, since 2×4932100² = 48651220820000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4932101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114679 + ... + 114721.

Almost surely, 2^4932100 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 4932100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5805184).

4932100 is an abundant number, since it is smaller than the sum of its proper divisors (6678268).

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

4932100 is a wasteful number, since it uses less digits than its factorization.

4932100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 4932100 is about 2220.8331769856. The cubic root of 4932100 is about 170.2200150171.

Adding to 4932100 its reverse (12394), we get a palindrome (4944494).

The spelling of 4932100 in words is "four million, nine hundred thirty-two thousand, one hundred".