8132100 has 36 divisors (see below), whose sum is σ = 23529744. Its totient is φ = 2168480.

The previous prime is 8132099. The next prime is 8132101. The reversal of 8132100 is 12318.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8132099) and next prime (8132101).

It is a super-2 number, since 2×8132100² = 132262100820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 8132100.

It is not an unprimeable number, because it can be changed into a prime (8132101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13254 + ... + 13853.

It is an arithmetic number, because the mean of its divisors is an integer number (653604).

Almost surely, 2^8132100 is an apocalyptic number.

It is an amenable number.

8132100 is an abundant number, since it is smaller than the sum of its proper divisors (15397644).

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

8132100 is a wasteful number, since it uses less digits than its factorization.

8132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27124 (or 27117 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 8132100 is about 2851.6837131772. The cubic root of 8132100 is about 201.0948291431.

Adding to 8132100 its reverse (12318), we get a palindrome (8144418).

The spelling of 8132100 in words is "eight million, one hundred thirty-two thousand, one hundred".