103539161088 has 480 divisors, whose sum is σ = 352189918080. Its totient is φ = 29999185920.

The previous prime is 103539161087. The next prime is 103539161161. The reversal of 103539161088 is 880161935301.

It is a happy number.

103539161088 is a `hidden beast` number, since 1 + 0 + 3 + 539 + 1 + 6 + 108 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103539161083) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 41968431 + ... + 41970897.

It is an arithmetic number, because the mean of its divisors is an integer number (733728996).

Almost surely, 2^103539161088 is an apocalyptic number.

103539161088 is a gapful number since it is divisible by the number (18) 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 103539161088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176094959040).

103539161088 is an abundant number, since it is smaller than the sum of its proper divisors (248650756992).

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

103539161088 is a wasteful number, since it uses less digits than its factorization.

103539161088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 103539161088 in words is "one hundred three billion, five hundred thirty-nine million, one hundred sixty-one thousand, eighty-eight".