105288640 has 28 divisors (see below), whose sum is σ = 250719336. Its totient is φ = 42115328.

The previous prime is 105288619. The next prime is 105288653. The reversal of 105288640 is 46882501.

It is a super-2 number, since 2×105288640² = 22171395426099200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105288596 and 105288605.

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 3 ways as a sum of consecutive naturals, for example, 164194 + ... + 164833.

It is an arithmetic number, because the mean of its divisors is an integer number (8954262).

Almost surely, 2^105288640 is an apocalyptic number.

105288640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105288640 is an abundant number, since it is smaller than the sum of its proper divisors (145430696).

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

105288640 is an equidigital number, since it uses as much as digits as its factorization.

105288640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329044 (or 329034 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 105288640 is about 10261.0252899016. The cubic root of 105288640 is about 472.2012930568.

The spelling of 105288640 in words is "one hundred five million, two hundred eighty-eight thousand, six hundred forty".