105350520 has 64 divisors (see below), whose sum is σ = 344787840. Its totient is φ = 25539200.

The previous prime is 105350503. The next prime is 105350521. The reversal of 105350520 is 25053501.

It is a super-2 number, since 2×105350520² = 22197464128540800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105350521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38586 + ... + 41225.

It is an arithmetic number, because the mean of its divisors is an integer number (5387310).

Almost surely, 2^105350520 is an apocalyptic number.

105350520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105350520 is an abundant number, since it is smaller than the sum of its proper divisors (239437320).

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

105350520 is a wasteful number, since it uses less digits than its factorization.

105350520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79836 (or 79832 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 105350520 is about 10264.0401402177. The cubic root of 105350520 is about 472.2937819633.

The spelling of 105350520 in words is "one hundred five million, three hundred fifty thousand, five hundred twenty".