105034500480 has 768 divisors, whose sum is σ = 418667927040. Its totient is φ = 21929656320.

The previous prime is 105034500469. The next prime is 105034500509. The reversal of 105034500480 is 84005430501.

It is a super-2 number, since 2×105034500480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 297547984 + ... + 297548336.

It is an arithmetic number, because the mean of its divisors is an integer number (545140530).

Almost surely, 2^105034500480 is an apocalyptic number.

105034500480 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 105034500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209333963520).

105034500480 is an abundant number, since it is smaller than the sum of its proper divisors (313633426560).

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

105034500480 is a wasteful number, since it uses less digits than its factorization.

105034500480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 105034500480 its reverse (84005430501), we get a palindrome (189039930981).

The spelling of 105034500480 in words is "one hundred five billion, thirty-four million, five hundred thousand, four hundred eighty".