105956623 has 2 divisors, whose sum is σ = 105956624. Its totient is φ = 105956622.

The previous prime is 105956621. The next prime is 105956663. The reversal of 105956623 is 326659501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105956623 - 2¹ = 105956621 is a prime.

It is a super-3 number, since 3×105956623³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 105956621, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105956621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52978311 + 52978312.

It is an arithmetic number, because the mean of its divisors is an integer number (52978312).

Almost surely, 2^105956623 is an apocalyptic number.

105956623 is a deficient number, since it is larger than the sum of its proper divisors (1).

105956623 is an equidigital number, since it uses as much as digits as its factorization.

105956623 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48600, while the sum is 37.

The square root of 105956623 is about 10293.5233520889. The cubic root of 105956623 is about 473.1977846453.

The spelling of 105956623 in words is "one hundred five million, nine hundred fifty-six thousand, six hundred twenty-three".