10544021100 has 180 divisors, whose sum is σ = 35666248464. Its totient is φ = 2689441920.

The previous prime is 10544021053. The next prime is 10544021107. The reversal of 10544021100 is 112044501.

10544021100 is a `hidden beast` number, since 1 + 0 + 544 + 0 + 21 + 100 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×10544021100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10544021107) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 158002 + ... + 214598.

Almost surely, 2^10544021100 is an apocalyptic number.

10544021100 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 10544021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17833124232).

10544021100 is an abundant number, since it is smaller than the sum of its proper divisors (25122227364).

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

10544021100 is a wasteful number, since it uses less digits than its factorization.

10544021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56646 (or 56630 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 10544021100 its reverse (112044501), we get a palindrome (10656065601).

The spelling of 10544021100 in words is "ten billion, five hundred forty-four million, twenty-one thousand, one hundred".