40100 has 18 divisors (see below), whose sum is σ = 87234. Its totient is φ = 16000.

The previous prime is 40099. The next prime is 40111. The reversal of 40100 is 104.

It can be written as a sum of positive squares in 3 ways, for example, as 12544 + 27556 = 112^2 + 166^2 .

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 101 + ... + 300.

2⁴⁰¹⁰⁰ is an apocalyptic number.

It is an amenable number.

40100 is an abundant number, since it is smaller than the sum of its proper divisors (47134).

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

40100 is a wasteful number, since it uses less digits than its factorization.

40100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 408 counting only the distinct ones).

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

The square root of 40100 is about 200.2498439450. The cubic root of 40100 is about 34.2279948159.

Adding to 40100 its reverse (104), we get a palindrome (40204).

The spelling of 40100 in words is "forty thousand, one hundred", and thus it is an iban number.