105303410005350 has 96 divisors (see below), whose sum is σ = 270257543838720. Its totient is φ = 27102583347840.

The previous prime is 105303410005273. The next prime is 105303410005399. The reversal of 105303410005350 is 53500014303501.

It is a super-2 number, since 2×105303410005350² (a number of 29 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 47 ways as a sum of consecutive naturals, for example, 7304139 + ... + 16246761.

It is an arithmetic number, because the mean of its divisors is an integer number (2815182748320).

Almost surely, 2^{105303410005350} is an apocalyptic number.

105303410005350 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 105303410005350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135128771919360).

105303410005350 is an abundant number, since it is smaller than the sum of its proper divisors (164954133833370).

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

105303410005350 is a wasteful number, since it uses less digits than its factorization.

105303410005350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8945374 (or 8945369 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

Adding to 105303410005350 its reverse (53500014303501), we get a palindrome (158803424308851).

The spelling of 105303410005350 in words is "one hundred five trillion, three hundred three billion, four hundred ten million, five thousand, three hundred fifty".