107261 has 12 divisors (see below), whose sum is σ = 136800. Its totient is φ = 83160.

The previous prime is 107251. The next prime is 107269. The reversal of 107261 is 162701.

It is a happy number.

It is not a de Polignac number, because 107261 - 2⁶ = 107197 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 440 + ... + 638.

It is an arithmetic number, because the mean of its divisors is an integer number (11400).

2¹⁰⁷²⁶¹ is an apocalyptic number.

107261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

107261 is a deficient number, since it is larger than the sum of its proper divisors (29539).

107261 is a wasteful number, since it uses less digits than its factorization.

107261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 107261 is about 327.5072518281. The cubic root of 107261 is about 47.5131634801.

Adding to 107261 its reverse (162701), we get a palindrome (269962).

The spelling of 107261 in words is "one hundred seven thousand, two hundred sixty-one".