10005072103290 has 64 divisors (see below), whose sum is σ = 26196837409152. Its totient is φ = 2425310956800.

The previous prime is 10005072103253. The next prime is 10005072103319. The reversal of 10005072103290 is 9230127050001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4008000 + ... + 6006180.

It is an arithmetic number, because the mean of its divisors is an integer number (409325584518).

Almost surely, 2^{10005072103290} is an apocalyptic number.

10005072103290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10005072103290 is an abundant number, since it is smaller than the sum of its proper divisors (16191765305862).

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

10005072103290 is a wasteful number, since it uses less digits than its factorization.

10005072103290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013375.

The product of its (nonzero) digits is 3780, while the sum is 30.

Adding to 10005072103290 its reverse (9230127050001), we get a palindrome (19235199153291).

The spelling of 10005072103290 in words is "ten trillion, five billion, seventy-two million, one hundred three thousand, two hundred ninety".