105306007 has 8 divisors (see below), whose sum is σ = 111938976. Its totient is φ = 98721792.

The previous prime is 105305951. The next prime is 105306017. The reversal of 105306007 is 700603501.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105306007 is a prime.

It is a super-2 number, since 2×105306007² = 22178710220568098, 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 (105306017) 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, 7683 + ... + 16420.

It is an arithmetic number, because the mean of its divisors is an integer number (13992372).

Almost surely, 2^105306007 is an apocalyptic number.

105306007 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

105306007 is a deficient number, since it is larger than the sum of its proper divisors (6632969).

105306007 is a wasteful number, since it uses less digits than its factorization.

105306007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24377.

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 105306007 is about 10261.8715154693. The cubic root of 105306007 is about 472.2272542906.

Adding to 105306007 its reverse (700603501), we get a palindrome (805909508).

The spelling of 105306007 in words is "one hundred five million, three hundred six thousand, seven".