4125100 has 72 divisors (see below), whose sum is σ = 10499328. Its totient is φ = 1377600.

The previous prime is 4125097. The next prime is 4125113. The reversal of 4125100 is 15214.

4125100 = 32² + 33² + ... + 231².

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49659 + ... + 49741.

It is an arithmetic number, because the mean of its divisors is an integer number (145824).

Almost surely, 2^4125100 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 4125100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5249664).

4125100 is an abundant number, since it is smaller than the sum of its proper divisors (6374228).

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

4125100 is a wasteful number, since it uses less digits than its factorization.

4125100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 4125100 is about 2031.0342193080. The cubic root of 4125100 is about 160.3780124628.

It can be divided in two parts, 4125 and 100, that added together give a square (4225 = 65²).

The spelling of 4125100 in words is "four million, one hundred twenty-five thousand, one hundred".