10871509100 has 18 divisors (see below), whose sum is σ = 23591174964. Its totient is φ = 4348603600.

The previous prime is 10871509073. The next prime is 10871509109. The reversal of 10871509100 is 190517801.

10871509100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10871509100² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10871509109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 54357446 + ... + 54357645.

Almost surely, 2^10871509100 is an apocalyptic number.

10871509100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10871509100 is an abundant number, since it is smaller than the sum of its proper divisors (12719665864).

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

10871509100 is a wasteful number, since it uses less digits than its factorization.

10871509100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108715105 (or 108715098 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 32.

The spelling of 10871509100 in words is "ten billion, eight hundred seventy-one million, five hundred nine thousand, one hundred".