105006315 has 16 divisors (see below), whose sum is σ = 170765856. Its totient is φ = 55084800.

The previous prime is 105006313. The next prime is 105006379. The reversal of 105006315 is 513600501.

It is a happy number.

It is not a de Polignac number, because 105006315 - 2¹ = 105006313 is a prime.

It is a super-2 number, since 2×105006315² = 22052652379758450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105006291 and 105006300.

It is not an unprimeable number, because it can be changed into a prime (105006313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56466 + ... + 58295.

It is an arithmetic number, because the mean of its divisors is an integer number (10672866).

Almost surely, 2^105006315 is an apocalyptic number.

105006315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105006315 is a deficient number, since it is larger than the sum of its proper divisors (65759541).

105006315 is a wasteful number, since it uses less digits than its factorization.

105006315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114830.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 105006315 is about 10247.2589017747. The cubic root of 105006315 is about 471.7788556952.

Adding to 105006315 its reverse (513600501), we get a palindrome (618606816).

The spelling of 105006315 in words is "one hundred five million, six thousand, three hundred fifteen".