105345320 has 32 divisors (see below), whose sum is σ = 238744800. Its totient is φ = 41832768.

The previous prime is 105345293. The next prime is 105345349. The reversal of 105345320 is 23543501.

It is a super-2 number, since 2×105345320² = 22195272891804800, which contains 22 as substring.

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, 3914 + ... + 15033.

It is an arithmetic number, because the mean of its divisors is an integer number (7460775).

Almost surely, 2^105345320 is an apocalyptic number.

105345320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105345320 is an abundant number, since it is smaller than the sum of its proper divisors (133399480).

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

105345320 is a wasteful number, since it uses less digits than its factorization.

105345320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19097 (or 19093 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 105345320 is about 10263.7868255337. The cubic root of 105345320 is about 472.2860111804.

Adding to 105345320 its reverse (23543501), we get a palindrome (128888821).

The spelling of 105345320 in words is "one hundred five million, three hundred forty-five thousand, three hundred twenty".