105363060 has 96 divisors (see below), whose sum is σ = 323592192. Its totient is φ = 25403520.

The previous prime is 105363019. The next prime is 105363091. The reversal of 105363060 is 60363501.

It is a super-2 number, since 2×105363060² = 22202748825127200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105363060.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173277 + ... + 173883.

It is an arithmetic number, because the mean of its divisors is an integer number (3370752).

Almost surely, 2^105363060 is an apocalyptic number.

105363060 is a gapful number since it is divisible by the number (10) 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 105363060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161796096).

105363060 is an abundant number, since it is smaller than the sum of its proper divisors (218229132).

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

105363060 is a wasteful number, since it uses less digits than its factorization.

105363060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 105363060 is about 10264.6509926056. The cubic root of 105363060 is about 472.3125204535.

The spelling of 105363060 in words is "one hundred five million, three hundred sixty-three thousand, sixty".