105301264 has 20 divisors (see below), whose sum is σ = 216023004. Its totient is φ = 49553408.

The previous prime is 105301241. The next prime is 105301279. The reversal of 105301264 is 462103501.

It can be written as a sum of positive squares in 2 ways, for example, as 38192400 + 67108864 = 6180^2 + 8192^2 .

It is a super-2 number, since 2×105301264² = 22176712399995392, which contains 22 as substring.

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, 193297 + ... + 193840.

Almost surely, 2^105301264 is an apocalyptic number.

It is an amenable number.

105301264 is an abundant number, since it is smaller than the sum of its proper divisors (110721740).

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

105301264 is a wasteful number, since it uses less digits than its factorization.

105301264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387162 (or 387156 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 105301264 is about 10261.6404146706. The cubic root of 105301264 is about 472.2201644529.

Adding to 105301264 its reverse (462103501), we get a palindrome (567404765).

The spelling of 105301264 in words is "one hundred five million, three hundred one thousand, two hundred sixty-four".