105015000450 has 96 divisors (see below), whose sum is σ = 265935675456. Its totient is φ = 27418383360.

The previous prime is 105015000443. The next prime is 105015000451. The reversal of 105015000450 is 54000510501.

It is a super-2 number, since 2×105015000450² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105015000451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1465149 + ... + 1535151.

It is an arithmetic number, because the mean of its divisors is an integer number (2770163286).

Almost surely, 2^105015000450 is an apocalyptic number.

105015000450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105015000450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132967837728).

105015000450 is an abundant number, since it is smaller than the sum of its proper divisors (160920675006).

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

105015000450 is a wasteful number, since it uses less digits than its factorization.

105015000450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70228 (or 70223 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

Adding to 105015000450 its reverse (54000510501), we get a palindrome (159015510951).

The spelling of 105015000450 in words is "one hundred five billion, fifteen million, four hundred fifty", and thus it is an aban number.