8138100 has 36 divisors (see below), whose sum is σ = 23547104. Its totient is φ = 2170080.

The previous prime is 8138083. The next prime is 8138107. The reversal of 8138100 is 18318.

It is a happy number.

It is a super-2 number, since 2×8138100² = 132457343220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8138107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13264 + ... + 13863.

Almost surely, 2^8138100 is an apocalyptic number.

It is an amenable number.

8138100 is an abundant number, since it is smaller than the sum of its proper divisors (15409004).

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

8138100 is a wasteful number, since it uses less digits than its factorization.

8138100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27144 (or 27137 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 8138100 is about 2852.7355292771. The cubic root of 8138100 is about 201.1442740324.

The spelling of 8138100 in words is "eight million, one hundred thirty-eight thousand, one hundred".