105513261 has 16 divisors (see below), whose sum is σ = 164204544. Its totient is φ = 59009904.

The previous prime is 105513257. The next prime is 105513277. The reversal of 105513261 is 162315501.

It is not a de Polignac number, because 105513261 - 2² = 105513257 is a prime.

It is a super-2 number, since 2×105513261² = 22266096493708242, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105513241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52465 + ... + 54438.

It is an arithmetic number, because the mean of its divisors is an integer number (10262784).

Almost surely, 2^105513261 is an apocalyptic number.

It is an amenable number.

105513261 is a deficient number, since it is larger than the sum of its proper divisors (58691283).

105513261 is a wasteful number, since it uses less digits than its factorization.

105513261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106960.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 105513261 is about 10271.9648071827. The cubic root of 105513261 is about 472.5368499577.

Adding to 105513261 its reverse (162315501), we get a palindrome (267828762).

The spelling of 105513261 in words is "one hundred five million, five hundred thirteen thousand, two hundred sixty-one".