105114130350 has 96 divisors (see below), whose sum is σ = 276968522880. Its totient is φ = 26306893440.

The previous prime is 105114130333. The next prime is 105114130393. The reversal of 105114130350 is 53031411501.

It is a super-2 number, since 2×105114130350² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105114130350.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132604 + ... + 477296.

It is an arithmetic number, because the mean of its divisors is an integer number (2885088780).

Almost surely, 2^105114130350 is an apocalyptic number.

105114130350 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 105114130350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138484261440).

105114130350 is an abundant number, since it is smaller than the sum of its proper divisors (171854392530).

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

105114130350 is a wasteful number, since it uses less digits than its factorization.

105114130350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344834 (or 344829 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 105114130350 its reverse (53031411501), we get a palindrome (158145541851).

The spelling of 105114130350 in words is "one hundred five billion, one hundred fourteen million, one hundred thirty thousand, three hundred fifty".