103217248008 has 192 divisors, whose sum is σ = 339243240960. Its totient is φ = 27676459008.

The previous prime is 103217247989. The next prime is 103217248019. The reversal of 103217248008 is 800842712301.

103217248008 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 172 + 480 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 3007441 + ... + 3041567.

It is an arithmetic number, because the mean of its divisors is an integer number (1766891880).

Almost surely, 2^103217248008 is an apocalyptic number.

103217248008 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 103217248008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169621620480).

103217248008 is an abundant number, since it is smaller than the sum of its proper divisors (236025992952).

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

103217248008 is a wasteful number, since it uses less digits than its factorization.

103217248008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34516 (or 34509 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 103217248008 in words is "one hundred three billion, two hundred seventeen million, two hundred forty-eight thousand, eight".