105345560 has 16 divisors (see below), whose sum is σ = 237027600. Its totient is φ = 42138208.

The previous prime is 105345529. The next prime is 105345563. The reversal of 105345560 is 65543501.

It is a super-2 number, since 2×105345560² = 22195374023427200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105345563) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1316780 + ... + 1316859.

It is an arithmetic number, because the mean of its divisors is an integer number (14814225).

Almost surely, 2^105345560 is an apocalyptic number.

105345560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105345560 is an abundant number, since it is smaller than the sum of its proper divisors (131682040).

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

105345560 is a wasteful number, since it uses less digits than its factorization.

105345560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2633650 (or 2633646 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

The square root of 105345560 is about 10263.7985171183. The cubic root of 105345560 is about 472.2863698375.

The spelling of 105345560 in words is "one hundred five million, three hundred forty-five thousand, five hundred sixty".