105234350336 has 36 divisors (see below), whose sum is σ = 212716627200. Its totient is φ = 51951124992.

The previous prime is 105234350321. The next prime is 105234350413. The reversal of 105234350336 is 633053432501.

It is a super-2 number, since 2×105234350336² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105234350296 and 105234350305.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2581496 + ... + 2621943.

It is an arithmetic number, because the mean of its divisors is an integer number (5908795200).

Almost surely, 2^105234350336 is an apocalyptic number.

105234350336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105234350336 is an abundant number, since it is smaller than the sum of its proper divisors (107482276864).

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

105234350336 is an frugal number, since it uses more digits than its factorization.

105234350336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5203534 (or 5203520 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 35.

Adding to 105234350336 its reverse (633053432501), we get a palindrome (738287782837).

The spelling of 105234350336 in words is "one hundred five billion, two hundred thirty-four million, three hundred fifty thousand, three hundred thirty-six".