105140007 has 12 divisors (see below), whose sum is σ = 173564560. Its totient is φ = 60079968.

The previous prime is 105139981. The next prime is 105140023. The reversal of 105140007 is 700041501.

It is not a de Polignac number, because 105140007 - 2⁸ = 105139751 is a prime.

It is a super-2 number, since 2×105140007² = 22108842143920098, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105140047) 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 11 ways as a sum of consecutive naturals, for example, 834382 + ... + 834507.

Almost surely, 2^105140007 is an apocalyptic number.

105140007 is a deficient number, since it is larger than the sum of its proper divisors (68424553).

105140007 is a wasteful number, since it uses less digits than its factorization.

105140007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668902 (or 1668899 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 105140007 is about 10253.7801322244. The cubic root of 105140007 is about 471.9789906741.

Adding to 105140007 its reverse (700041501), we get a palindrome (805181508).

The spelling of 105140007 in words is "one hundred five million, one hundred forty thousand, seven".