105232520 has 32 divisors (see below), whose sum is σ = 237069720. Its totient is φ = 42040320.

The previous prime is 105232511. The next prime is 105232537. The reversal of 105232520 is 25232501.

It can be written as a sum of positive squares in 4 ways, for example, as 76352644 + 28879876 = 8738^2 + 5374^2 .

It is a super-3 number, since 3×105232520³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 105232492 and 105232501.

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, 53474 + ... + 55406.

Almost surely, 2^105232520 is an apocalyptic number.

105232520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105232520 is an abundant number, since it is smaller than the sum of its proper divisors (131837200).

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

105232520 is a wasteful number, since it uses less digits than its factorization.

105232520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3305 (or 3301 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 105232520 is about 10258.2903058941. The cubic root of 105232520 is about 472.1173819903.

The spelling of 105232520 in words is "one hundred five million, two hundred thirty-two thousand, five hundred twenty".