105019089000 has 256 divisors, whose sum is σ = 375023001600. Its totient is φ = 23968800000.

The previous prime is 105019088983. The next prime is 105019089001. The reversal of 105019089000 is 980910501.

It is a super-2 number, since 2×105019089000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105019089001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15767671 + ... + 15774329.

It is an arithmetic number, because the mean of its divisors is an integer number (1464933600).

Almost surely, 2^105019089000 is an apocalyptic number.

105019089000 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 105019089000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187511500800).

105019089000 is an abundant number, since it is smaller than the sum of its proper divisors (270003912600).

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

105019089000 is a wasteful number, since it uses less digits than its factorization.

105019089000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7441 (or 7427 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 33.

Adding to 105019089000 its reverse (980910501), we get a palindrome (105999999501).

The spelling of 105019089000 in words is "one hundred five billion, nineteen million, eighty-nine thousand".