105310007 has 8 divisors (see below), whose sum is σ = 118589952. Its totient is φ = 92647800.

The previous prime is 105309979. The next prime is 105310013. The reversal of 105310007 is 700013501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105310007 - 2¹² = 105305911 is a prime.

It is a super-2 number, since 2×105310007² = 22180395148680098, 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 (105310057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154073 + ... + 154754.

It is an arithmetic number, because the mean of its divisors is an integer number (14823744).

Almost surely, 2^105310007 is an apocalyptic number.

105310007 is a deficient number, since it is larger than the sum of its proper divisors (13279945).

105310007 is a wasteful number, since it uses less digits than its factorization.

105310007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308869.

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 105310007 is about 10262.0664098416. The cubic root of 105310007 is about 472.2332333262.

Adding to 105310007 its reverse (700013501), we get a palindrome (805323508).

The spelling of 105310007 in words is "one hundred five million, three hundred ten thousand, seven".