8142100 has 18 divisors (see below), whose sum is σ = 17668574. Its totient is φ = 3256800.

The previous prime is 8142077. The next prime is 8142103. The reversal of 8142100 is 12418.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2553604 + 5588496 = 1598^2 + 2364^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8142103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40611 + ... + 40810.

Almost surely, 2^8142100 is an apocalyptic number.

It is an amenable number.

8142100 is an abundant number, since it is smaller than the sum of its proper divisors (9526474).

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

8142100 is a wasteful number, since it uses less digits than its factorization.

8142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81435 (or 81428 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 8142100 is about 2853.4365246138. The cubic root of 8142100 is about 201.1772237919.

Adding to 8142100 its reverse (12418), we get a palindrome (8154518).

The spelling of 8142100 in words is "eight million, one hundred forty-two thousand, one hundred".