105948677 has 2 divisors, whose sum is σ = 105948678. Its totient is φ = 105948676.

The previous prime is 105948673. The next prime is 105948679. The reversal of 105948677 is 776849501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88190881 + 17757796 = 9391^2 + 4214^2 .

It is a cyclic number.

It is not a de Polignac number, because 105948677 - 2² = 105948673 is a prime.

It is a super-2 number, since 2×105948677² = 22450244316100658, which contains 22 as substring.

Together with 105948679, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105948671) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52974338 + 52974339.

It is an arithmetic number, because the mean of its divisors is an integer number (52974339).

Almost surely, 2^105948677 is an apocalyptic number.

It is an amenable number.

105948677 is a deficient number, since it is larger than the sum of its proper divisors (1).

105948677 is an equidigital number, since it uses as much as digits as its factorization.

105948677 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 423360, while the sum is 47.

The square root of 105948677 is about 10293.1373739983. The cubic root of 105948677 is about 473.1859555166.

The spelling of 105948677 in words is "one hundred five million, nine hundred forty-eight thousand, six hundred seventy-seven".