10005105101000 has 128 divisors (see below), whose sum is σ = 24733134691200. Its totient is φ = 3777718867200.

The previous prime is 10005105100993. The next prime is 10005105101039. The reversal of 10005105101000 is 10150150001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4312487 + ... + 6213513.

It is an arithmetic number, because the mean of its divisors is an integer number (193227614775).

Almost surely, 2^{10005105101000} is an apocalyptic number.

10005105101000 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 10005105101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12366567345600).

10005105101000 is an abundant number, since it is smaller than the sum of its proper divisors (14728029590200).

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

10005105101000 is a wasteful number, since it uses less digits than its factorization.

10005105101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901344 (or 1901330 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 14.

Adding to 10005105101000 its reverse (10150150001), we get a palindrome (10015255251001).

The spelling of 10005105101000 in words is "ten trillion, five billion, one hundred five million, one hundred one thousand".