103088860761306 has 512 divisors, whose sum is σ = 270950895452160. Its totient is φ = 25469733187584.

The previous prime is 103088860761251. The next prime is 103088860761361. The reversal of 103088860761306 is 603167068880301.

It is an interprime number because it is at equal distance from previous prime (103088860761251) and next prime (103088860761361).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9331836675 + ... + 9331847721.

It is an arithmetic number, because the mean of its divisors is an integer number (529200967680).

Almost surely, 2^{103088860761306} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103088860761306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135475447726080).

103088860761306 is an abundant number, since it is smaller than the sum of its proper divisors (167862034690854).

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

103088860761306 is a wasteful number, since it uses less digits than its factorization.

103088860761306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11418.

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 103088860761306 in words is "one hundred three trillion, eighty-eight billion, eight hundred sixty million, seven hundred sixty-one thousand, three hundred six".