10393200090 has 192 divisors, whose sum is σ = 34405862400. Its totient is φ = 2117187072.

The previous prime is 10393199987. The next prime is 10393200101. The reversal of 10393200090 is 9000239301.

10393200090 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10393200090² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215631 + ... + 259389.

It is an arithmetic number, because the mean of its divisors is an integer number (179197200).

Almost surely, 2^10393200090 is an apocalyptic number.

10393200090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10393200090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17202931200).

10393200090 is an abundant number, since it is smaller than the sum of its proper divisors (24012662310).

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

10393200090 is a wasteful number, since it uses less digits than its factorization.

10393200090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43821 (or 43818 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

Adding to 10393200090 its reverse (9000239301), we get a palindrome (19393439391).

The spelling of 10393200090 in words is "ten billion, three hundred ninety-three million, two hundred thousand, ninety".