10544021984106 has 96 divisors (see below), whose sum is σ = 25292719517520. Its totient is φ = 3153499195392.

The previous prime is 10544021984077. The next prime is 10544021984129. The reversal of 10544021984106 is 60148912044501.

10544021984106 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 40 + 2 + 198 + 410 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8180143409025 + 2363878575081 = 2860095^2 + 1537491^2 .

It is a super-2 number, since 2×10544021984106² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8132436 + ... + 9339408.

Almost surely, 2^{10544021984106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10544021984106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12646359758760).

10544021984106 is an abundant number, since it is smaller than the sum of its proper divisors (14748697533414).

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

10544021984106 is a wasteful number, since it uses less digits than its factorization.

10544021984106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208040 (or 1208037 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 10544021984106 in words is "ten trillion, five hundred forty-four billion, twenty-one million, nine hundred eighty-four thousand, one hundred six".