6120100 has 54 divisors (see below), whose sum is σ = 15461250. Its totient is φ = 2096640.

The previous prime is 6120097. The next prime is 6120151. The reversal of 6120100 is 10216.

It can be written as a sum of positive squares in 3 ways, for example, as 254016 + 5866084 = 504^2 + 2422^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4276 + ... + 5524.

Almost surely, 2^6120100 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 6120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7730625).

6120100 is an abundant number, since it is smaller than the sum of its proper divisors (9341150).

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

6120100 is a wasteful number, since it uses less digits than its factorization.

6120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 6120100 is about 2473.8835865901. The cubic root of 6120100 is about 182.9164817417.

Adding to 6120100 its reverse (10216), we get a palindrome (6130316).

It can be divided in two parts, 6 and 120100, that multiplied together give a triangular number (720600 = T₁₂₀₀).

The spelling of 6120100 in words is "six million, one hundred twenty thousand, one hundred".