105103334340 has 288 divisors, whose sum is σ = 336779928576. Its totient is φ = 26494940160.

The previous prime is 105103334321. The next prime is 105103334389. The reversal of 105103334340 is 43433301501.

It is a super-2 number, since 2×105103334340² (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 95 ways as a sum of consecutive naturals, for example, 81919339 + ... + 81920621.

It is an arithmetic number, because the mean of its divisors is an integer number (1169374752).

Almost surely, 2^105103334340 is an apocalyptic number.

105103334340 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 105103334340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168389964288).

105103334340 is an abundant number, since it is smaller than the sum of its proper divisors (231676594236).

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

105103334340 is a wasteful number, since it uses less digits than its factorization.

105103334340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 105103334340 its reverse (43433301501), we get a palindrome (148536635841).

The spelling of 105103334340 in words is "one hundred five billion, one hundred three million, three hundred thirty-four thousand, three hundred forty".