105489000000 has 392 divisors, whose sum is σ = 387741911840. Its totient is φ = 28123200000.

The previous prime is 105488999953. The next prime is 105489000017. The reversal of 105489000000 is 984501.

It is a super-2 number, since 2×105489000000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 105489000000 = 75³ + 4725³ = 3720³ + 3780³.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 26998047 + ... + 27001953.

Almost surely, 2^105489000000 is an apocalyptic number.

105489000000 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 105489000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193870955920).

105489000000 is an abundant number, since it is smaller than the sum of its proper divisors (282252911840).

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

105489000000 is an frugal number, since it uses more digits than its factorization.

105489000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3958 (or 3917 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 105489000000 its reverse (984501), we get a palindrome (105489984501).

The spelling of 105489000000 in words is "one hundred five billion, four hundred eighty-nine million", and thus it is an aban number.