4956100 has 36 divisors (see below), whose sum is σ = 11132100. Its totient is φ = 1912960.

The previous prime is 4956097. The next prime is 4956139. The reversal of 4956100 is 16594.

It can be written as a sum of positive squares in 6 ways, for example, as 427716 + 4528384 = 654^2 + 2128^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 11 ways as a sum of consecutive naturals, for example, 2046 + ... + 3754.

It is an arithmetic number, because the mean of its divisors is an integer number (309225).

Almost surely, 2^4956100 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 4956100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5566050).

4956100 is an abundant number, since it is smaller than the sum of its proper divisors (6176000).

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

4956100 is a wasteful number, since it uses less digits than its factorization.

4956100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 4956100 is about 2226.2299971027. The cubic root of 4956100 is about 170.4956698619.

The spelling of 4956100 in words is "four million, nine hundred fifty-six thousand, one hundred".