10544013090 has 144 divisors (see below), whose sum is σ = 29783557440. Its totient is φ = 2586879360.

The previous prime is 10544013089. The next prime is 10544013113. The reversal of 10544013090 is 9031044501.

10544013090 is a `hidden beast` number, since 1 + 0 + 5 + 440 + 130 + 90 = 666.

It is a super-2 number, since 2×10544013090² (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 71 ways as a sum of consecutive naturals, for example, 5459425 + ... + 5461355.

It is an arithmetic number, because the mean of its divisors is an integer number (206830260).

Almost surely, 2^10544013090 is an apocalyptic number.

10544013090 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 10544013090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14891778720).

10544013090 is an abundant number, since it is smaller than the sum of its proper divisors (19239544350).

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

10544013090 is a wasteful number, since it uses less digits than its factorization.

10544013090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 10544013090 its reverse (9031044501), we get a palindrome (19575057591).

The spelling of 10544013090 in words is "ten billion, five hundred forty-four million, thirteen thousand, ninety".