105110721000 has 192 divisors, whose sum is σ = 356418850320. Its totient is φ = 27939225600.

The previous prime is 105110720963. The next prime is 105110721019. The reversal of 105110721000 is 127011501.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3310161156 + 101800559844 = 57534^2 + 319062^2 .

It is a super-2 number, since 2×105110721000² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2798344 + ... + 2835656.

Almost surely, 2^105110721000 is an apocalyptic number.

105110721000 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 105110721000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178209425160).

105110721000 is an abundant number, since it is smaller than the sum of its proper divisors (251308129320).

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

105110721000 is a wasteful number, since it uses less digits than its factorization.

105110721000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37653 (or 37636 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

Adding to 105110721000 its reverse (127011501), we get a palindrome (105237732501).

The spelling of 105110721000 in words is "one hundred five billion, one hundred ten million, seven hundred twenty-one thousand".