10005105350324 has 72 divisors (see below), whose sum is σ = 20913871051080. Its totient is φ = 4173381273600.

The previous prime is 10005105350309. The next prime is 10005105350329. The reversal of 10005105350324 is 42305350150001.

It can be written as a sum of positive squares in 4 ways, for example, as 383433408400 + 9621671941924 = 619220^2 + 3101882^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005105350329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1904492 + ... + 4861820.

It is an arithmetic number, because the mean of its divisors is an integer number (290470431265).

Almost surely, 2^{10005105350324} is an apocalyptic number.

10005105350324 is a gapful number since it is divisible by the number (14) 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 10005105350324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10456935525540).

10005105350324 is an abundant number, since it is smaller than the sum of its proper divisors (10908765700756).

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

10005105350324 is a wasteful number, since it uses less digits than its factorization.

10005105350324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2957809 (or 2957800 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

The spelling of 10005105350324 in words is "ten trillion, five billion, one hundred five million, three hundred fifty thousand, three hundred twenty-four".