105268640 has 24 divisors (see below), whose sum is σ = 248697540. Its totient is φ = 42107392.

The previous prime is 105268627. The next prime is 105268661. The reversal of 105268640 is 46862501.

It can be written as a sum of positive squares in 2 ways, for example, as 90859024 + 14409616 = 9532^2 + 3796^2 .

It is a super-2 number, since 2×105268640² = 22162973134899200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 105268597 and 105268606.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 328805 + ... + 329124.

Almost surely, 2^105268640 is an apocalyptic number.

105268640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105268640 is an abundant number, since it is smaller than the sum of its proper divisors (143428900).

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

105268640 is an equidigital number, since it uses as much as digits as its factorization.

105268640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657944 (or 657936 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 105268640 is about 10260.0506821360. The cubic root of 105268640 is about 472.1713923195.

The spelling of 105268640 in words is "one hundred five million, two hundred sixty-eight thousand, six hundred forty".