105861131 has 2 divisors, whose sum is σ = 105861132. Its totient is φ = 105861130.

The previous prime is 105861113. The next prime is 105861167. The reversal of 105861131 is 131168501.

Together with previous prime (105861113) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105861131 is a prime.

It is a super-3 number, since 3×105861131³ (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 105861131.

It is not a weakly prime, because it can be changed into another prime (105861191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52930565 + 52930566.

It is an arithmetic number, because the mean of its divisors is an integer number (52930566).

Almost surely, 2^105861131 is an apocalyptic number.

105861131 is a deficient number, since it is larger than the sum of its proper divisors (1).

105861131 is an equidigital number, since it uses as much as digits as its factorization.

105861131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 26.

The square root of 105861131 is about 10288.8838558903. The cubic root of 105861131 is about 473.0555875116.

The spelling of 105861131 in words is "one hundred five million, eight hundred sixty-one thousand, one hundred thirty-one".