105976007 has 2 divisors, whose sum is σ = 105976008. Its totient is φ = 105976006.

The previous prime is 105975997. The next prime is 105976009. The reversal of 105976007 is 700679501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105976007 - 2¹⁰ = 105974983 is a prime.

It is a super-2 number, since 2×105976007² = 22461828119328098, which contains 22 as substring.

Together with 105976009, 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 (105976009) 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 as a sum of consecutive naturals, namely, 52988003 + 52988004.

It is an arithmetic number, because the mean of its divisors is an integer number (52988004).

Almost surely, 2^105976007 is an apocalyptic number.

105976007 is a deficient number, since it is larger than the sum of its proper divisors (1).

105976007 is an equidigital number, since it uses as much as digits as its factorization.

105976007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13230, while the sum is 35.

The square root of 105976007 is about 10294.4648719591. The cubic root of 105976007 is about 473.2266389265.

The spelling of 105976007 in words is "one hundred five million, nine hundred seventy-six thousand, seven".