105451210344 has 128 divisors (see below), whose sum is σ = 275598046080. Its totient is φ = 33592320000.

The previous prime is 105451210321. The next prime is 105451210363. The reversal of 105451210344 is 443012154501.

It is a super-2 number, since 2×105451210344² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16267584 + ... + 16274064.

It is an arithmetic number, because the mean of its divisors is an integer number (2153109735).

Almost surely, 2^105451210344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105451210344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137799023040).

105451210344 is an abundant number, since it is smaller than the sum of its proper divisors (170146835736).

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

105451210344 is a wasteful number, since it uses less digits than its factorization.

105451210344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6851 (or 6847 counting only the distinct ones).

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

Adding to 105451210344 its reverse (443012154501), we get a palindrome (548463364845).

The spelling of 105451210344 in words is "one hundred five billion, four hundred fifty-one million, two hundred ten thousand, three hundred forty-four".