18105102540 has 144 divisors (see below), whose sum is σ = 62815334400. Its totient is φ = 4134948480.

The previous prime is 18105102523. The next prime is 18105102551. The reversal of 18105102540 is 4520150181.

18105102540 is a `hidden beast` number, since 1 + 8 + 10 + 5 + 102 + 540 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1757605 + ... + 1767875.

It is an arithmetic number, because the mean of its divisors is an integer number (436217600).

Almost surely, 2^18105102540 is an apocalyptic number.

18105102540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18105102540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31407667200).

18105102540 is an abundant number, since it is smaller than the sum of its proper divisors (44710231860).

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

18105102540 is a wasteful number, since it uses less digits than its factorization.

18105102540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11692 (or 11687 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The spelling of 18105102540 in words is "eighteen billion, one hundred five million, one hundred two thousand, five hundred forty".