103261167 has 6 divisors (see below), whose sum is σ = 149155032. Its totient is φ = 68840772.

The previous prime is 103261153. The next prime is 103261183. The reversal of 103261167 is 761162301.

103261167 is a `hidden beast` number, since 10 + 32 + 611 + 6 + 7 = 666.

It is not a de Polignac number, because 103261167 - 2¹⁴ = 103244783 is a prime.

It is a super-3 number, since 3×103261167³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 103261167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103261127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5736723 + ... + 5736740.

It is an arithmetic number, because the mean of its divisors is an integer number (24859172).

Almost surely, 2^103261167 is an apocalyptic number.

103261167 is a deficient number, since it is larger than the sum of its proper divisors (45893865).

103261167 is a wasteful number, since it uses less digits than its factorization.

103261167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11473469 (or 11473466 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 103261167 is about 10161.7501937412. The cubic root of 103261167 is about 469.1506722475.

The spelling of 103261167 in words is "one hundred three million, two hundred sixty-one thousand, one hundred sixty-seven".