105010007 has 4 divisors (see below), whose sum is σ = 105039000. Its totient is φ = 104981016.

The previous prime is 105009997. The next prime is 105010027. The reversal of 105010007 is 700010501.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 105010007 - 2⁴ = 105009991 is a prime.

It is a super-2 number, since 2×105010007² = 22054203140280098, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105009973 and 105010000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105010027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8132 + ... + 16617.

It is an arithmetic number, because the mean of its divisors is an integer number (26259750).

Almost surely, 2^105010007 is an apocalyptic number.

105010007 is a deficient number, since it is larger than the sum of its proper divisors (28993).

105010007 is an equidigital number, since it uses as much as digits as its factorization.

105010007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28992.

The product of its (nonzero) digits is 35, while the sum is 14.

The square root of 105010007 is about 10247.4390459275. The cubic root of 105010007 is about 471.7843848456.

Adding to 105010007 its reverse (700010501), we get a palindrome (805020508).

The spelling of 105010007 in words is "one hundred five million, ten thousand, seven".