105600261 has 8 divisors (see below), whose sum is σ = 151631200. Its totient is φ = 64984752.

The previous prime is 105600259. The next prime is 105600283. The reversal of 105600261 is 162006501.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105600261 - 2¹ = 105600259 is a prime.

It is a super-2 number, since 2×105600261² = 22302830246536242, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105600661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1353811 + ... + 1353888.

It is an arithmetic number, because the mean of its divisors is an integer number (18953900).

Almost surely, 2^105600261 is an apocalyptic number.

It is an amenable number.

105600261 is a deficient number, since it is larger than the sum of its proper divisors (46030939).

105600261 is a wasteful number, since it uses less digits than its factorization.

105600261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2707715.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 105600261 is about 10276.1987621883. The cubic root of 105600261 is about 472.6666895993. Note that the first 4 decimals are identical.

Adding to 105600261 its reverse (162006501), we get a palindrome (267606762).

It can be divided in two parts, 105600 and 261, that multiplied together give a triangular number (27561600 = T₇₄₂₄).

The spelling of 105600261 in words is "one hundred five million, six hundred thousand, two hundred sixty-one".