103187901186048 has 288 divisors, whose sum is σ = 314578948392576. Its totient is φ = 29472627621888.

The previous prime is 103187901185969. The next prime is 103187901186049. The reversal of 103187901186048 is 840681109781301.

It is not an unprimeable number, because it can be changed into a prime (103187901186049) 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 15 ways as a sum of consecutive naturals, for example, 16716002290 + ... + 16716008462.

It is an arithmetic number, because the mean of its divisors is an integer number (1092288015252).

Almost surely, 2^{103187901186048} 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 103187901186048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157289474196288).

103187901186048 is an abundant number, since it is smaller than the sum of its proper divisors (211391047206528).

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

103187901186048 is an frugal number, since it uses more digits than its factorization.

103187901186048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12290 (or 12258 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 57.

The spelling of 103187901186048 in words is "one hundred three trillion, one hundred eighty-seven billion, nine hundred one million, one hundred eighty-six thousand, forty-eight".