8539268100 has 144 divisors (see below), whose sum is σ = 27058268160. Its totient is φ = 2062044800.

The previous prime is 8539268057. The next prime is 8539268123. The reversal of 8539268100 is 18629358.

It is a super-2 number, since 2×8539268100² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 862981 + ... + 872819.

It is an arithmetic number, because the mean of its divisors is an integer number (187904640).

Almost surely, 2^8539268100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8539268100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13529134080).

8539268100 is an abundant number, since it is smaller than the sum of its proper divisors (18519000060).

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

8539268100 is a wasteful number, since it uses less digits than its factorization.

8539268100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10130 (or 10123 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 8539268100 is about 92408.1603539428. The cubic root of 8539268100 is about 2043.9654461500.

The spelling of 8539268100 in words is "eight billion, five hundred thirty-nine million, two hundred sixty-eight thousand, one hundred".