105105520 has 40 divisors (see below), whose sum is σ = 263170656. Its totient is φ = 38807808.

The previous prime is 105105499. The next prime is 105105551. The reversal of 105105520 is 25501501.

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

It is a super-2 number, since 2×105105520² = 22094340668940800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49492 + ... + 51571.

Almost surely, 2^105105520 is an apocalyptic number.

105105520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105105520 is an abundant number, since it is smaller than the sum of its proper divisors (158065136).

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

105105520 is a wasteful number, since it uses less digits than its factorization.

105105520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101089 (or 101083 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 19.

The square root of 105105520 is about 10252.0983218071. The cubic root of 105105520 is about 471.9273803818.

It can be divided in two parts, 105105 and 520, that added together give a square (105625 = 325²).

The spelling of 105105520 in words is "one hundred five million, one hundred five thousand, five hundred twenty".