8148100 has 36 divisors (see below), whose sum is σ = 18725364. Its totient is φ = 3066880.

The previous prime is 8148089. The next prime is 8148137. The reversal of 8148100 is 18418.

It can be written as a sum of positive squares in 6 ways, for example, as 352836 + 7795264 = 594^2 + 2792^2 .

It is a super-2 number, since 2×8148100² = 132783067220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 697 + ... + 4096.

It is an arithmetic number, because the mean of its divisors is an integer number (520149).

Almost surely, 2^8148100 is an apocalyptic number.

It is an amenable number.

8148100 is an abundant number, since it is smaller than the sum of its proper divisors (10577264).

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

8148100 is a wasteful number, since it uses less digits than its factorization.

8148100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4824 (or 4817 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 8148100 is about 2854.4876948412. The cubic root of 8148100 is about 201.2266282029.

The spelling of 8148100 in words is "eight million, one hundred forty-eight thousand, one hundred".