105388520 has 16 divisors (see below), whose sum is σ = 237124260. Its totient is φ = 42155392.

The previous prime is 105388519. The next prime is 105388531. The reversal of 105388520 is 25883501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 86081284 + 19307236 = 9278^2 + 4394^2 .

It is a super-2 number, since 2×105388520² = 22213480295580800, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 1317317 + ... + 1317396.

Almost surely, 2^105388520 is an apocalyptic number.

105388520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105388520 is an abundant number, since it is smaller than the sum of its proper divisors (131735740).

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

105388520 is a wasteful number, since it uses less digits than its factorization.

105388520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634724 (or 2634720 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 105388520 is about 10265.8910962468. The cubic root of 105388520 is about 472.3505606936.

The spelling of 105388520 in words is "one hundred five million, three hundred eighty-eight thousand, five hundred twenty".