105008583333340 has 96 divisors (see below), whose sum is σ = 238467417491520. Its totient is φ = 38705951471616.

The previous prime is 105008583333331. The next prime is 105008583333343. The reversal of 105008583333340 is 43333385800501.

It is a super-2 number, since 2×105008583333340² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105008583333343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47180214 + ... + 49355746.

It is an arithmetic number, because the mean of its divisors is an integer number (2484035598870).

Almost surely, 2^{105008583333340} is an apocalyptic number.

105008583333340 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 105008583333340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119233708745760).

105008583333340 is an abundant number, since it is smaller than the sum of its proper divisors (133458834158180).

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

105008583333340 is a wasteful number, since it uses less digits than its factorization.

105008583333340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179031 (or 2179029 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 46.

The spelling of 105008583333340 in words is "one hundred five trillion, eight billion, five hundred eighty-three million, three hundred thirty-three thousand, three hundred forty".