105640520 has 16 divisors (see below), whose sum is σ = 237691260. Its totient is φ = 42256192.

The previous prime is 105640519. The next prime is 105640523. The reversal of 105640520 is 25046501.

It can be written as a sum of positive squares in 2 ways, for example, as 102535876 + 3104644 = 10126^2 + 1762^2 .

It is a super-2 number, since 2×105640520² = 22319838931740800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105640523) 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 3 ways as a sum of consecutive naturals, for example, 1320467 + ... + 1320546.

Almost surely, 2^105640520 is an apocalyptic number.

105640520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105640520 is an abundant number, since it is smaller than the sum of its proper divisors (132050740).

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

105640520 is a wasteful number, since it uses less digits than its factorization.

105640520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641024 (or 2641020 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 105640520 is about 10278.1574224177. The cubic root of 105640520 is about 472.7267483856.

The spelling of 105640520 in words is "one hundred five million, six hundred forty thousand, five hundred twenty".