4000100 has 72 divisors (see below), whose sum is σ = 9952488. Its totient is φ = 1382400.

The previous prime is 4000093. The next prime is 4000133. The reversal of 4000100 is 10004.

It can be written as a sum of positive squares in 12 ways, for example, as 2540836 + 1459264 = 1594^2 + 1208^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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, 22010 + ... + 22190.

It is an arithmetic number, because the mean of its divisors is an integer number (138229).

It is the magic constant of a 200 × 200 magic square.

Almost surely, 2^4000100 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 4000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976244).

4000100 is an abundant number, since it is smaller than the sum of its proper divisors (5952388).

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

4000100 is a wasteful number, since it uses less digits than its factorization.

4000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 4000100 is about 2000.0249998438. The cubic root of 4000100 is about 158.7414280200.

Adding to 4000100 its reverse (10004), we get a palindrome (4010104).

The spelling of 4000100 in words is "four million, one hundred", and thus it is an aban number.