105352434336 has 96 divisors (see below), whose sum is σ = 282480948288. Its totient is φ = 34371717120.

The previous prime is 105352434281. The next prime is 105352434337. The reversal of 105352434336 is 633434253501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105352434336² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105352434294 and 105352434303.

It is not an unprimeable number, because it can be changed into a prime (105352434337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 860670 + ... + 975426.

It is an arithmetic number, because the mean of its divisors is an integer number (2942509878).

Almost surely, 2^105352434336 is an apocalyptic number.

105352434336 is a gapful number since it is divisible by the number (16) 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 105352434336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141240474144).

105352434336 is an abundant number, since it is smaller than the sum of its proper divisors (177128513952).

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

105352434336 is a wasteful number, since it uses less digits than its factorization.

105352434336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114974 (or 114966 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 39.

Adding to 105352434336 its reverse (633434253501), we get a palindrome (738786687837).

The spelling of 105352434336 in words is "one hundred five billion, three hundred fifty-two million, four hundred thirty-four thousand, three hundred thirty-six".