105513265 has 16 divisors (see below), whose sum is σ = 148752576. Its totient is φ = 70833600.

The previous prime is 105513257. The next prime is 105513277. The reversal of 105513265 is 562315501.

It is not a de Polignac number, because 105513265 - 2³ = 105513257 is a prime.

It is a super-2 number, since 2×105513265² = 22266098181920450, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73071 + ... + 74500.

It is an arithmetic number, because the mean of its divisors is an integer number (9297036).

Almost surely, 2^105513265 is an apocalyptic number.

It is an amenable number.

105513265 is a deficient number, since it is larger than the sum of its proper divisors (43239311).

105513265 is a wasteful number, since it uses less digits than its factorization.

105513265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147600.

The product of its (nonzero) digits is 4500, while the sum is 28.

The square root of 105513265 is about 10271.9650018874. The cubic root of 105513265 is about 472.5368559290.

Adding to 105513265 its reverse (562315501), we get a palindrome (667828766).

The spelling of 105513265 in words is "one hundred five million, five hundred thirteen thousand, two hundred sixty-five".