103135515040 has 96 divisors (see below), whose sum is σ = 246322702080. Its totient is φ = 40803969024.

The previous prime is 103135515029. The next prime is 103135515103. The reversal of 103135515040 is 40515531301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15438421 + ... + 15445099.

It is an arithmetic number, because the mean of its divisors is an integer number (2565861480).

Almost surely, 2^103135515040 is an apocalyptic number.

103135515040 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 103135515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123161351040).

103135515040 is an abundant number, since it is smaller than the sum of its proper divisors (143187187040).

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

103135515040 is a wasteful number, since it uses less digits than its factorization.

103135515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7734 (or 7726 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The spelling of 103135515040 in words is "one hundred three billion, one hundred thirty-five million, five hundred fifteen thousand, forty".