105234320 has 40 divisors (see below), whose sum is σ = 247781760. Its totient is φ = 41558400.

The previous prime is 105234317. The next prime is 105234383. The reversal of 105234320 is 23432501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105234320² = 22148524211724800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 105234292 and 105234301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2006 + ... + 14645.

It is an arithmetic number, because the mean of its divisors is an integer number (6194544).

Almost surely, 2^105234320 is an apocalyptic number.

105234320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105234320 is an abundant number, since it is smaller than the sum of its proper divisors (142547440).

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

105234320 is a wasteful number, since it uses less digits than its factorization.

105234320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16743 (or 16737 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 105234320 is about 10258.3780394368. The cubic root of 105234320 is about 472.1200738275.

Adding to 105234320 its reverse (23432501), we get a palindrome (128666821).

The spelling of 105234320 in words is "one hundred five million, two hundred thirty-four thousand, three hundred twenty".