4661100 has 54 divisors (see below), whose sum is σ = 14612780. Its totient is φ = 1242720.

The previous prime is 4661093. The next prime is 4661113. The reversal of 4661100 is 11664.

4661100 is a `hidden beast` number, since 4 + 661 + 1 + 0 + 0 = 666.

4661100 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

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 17 ways as a sum of consecutive naturals, for example, 1690 + ... + 3489.

Almost surely, 2^4661100 is an apocalyptic number.

It is an amenable number.

4661100 is an abundant number, since it is smaller than the sum of its proper divisors (9951680).

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

4661100 is a wasteful number, since it uses less digits than its factorization.

4661100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5199 (or 5189 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4661100 is about 2158.9580820386. The cubic root of 4661100 is about 167.0434586361.

Adding to 4661100 its reverse (11664), we get a palindrome (4672764).

It can be divided in two parts, 4661 and 100, that added together give a square (4761 = 69²).

The spelling of 4661100 in words is "four million, six hundred sixty-one thousand, one hundred".