105640315 has 16 divisors (see below), whose sum is σ = 138963456. Its totient is φ = 76456800.

The previous prime is 105640303. The next prime is 105640319. The reversal of 105640315 is 513046501.

It is not a de Polignac number, because 105640315 - 2⁷ = 105640187 is a prime.

It is a super-2 number, since 2×105640315² = 22319752306598450, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105640315.

It is not an unprimeable number, because it can be changed into a prime (105640319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7054 + ... + 16156.

It is an arithmetic number, because the mean of its divisors is an integer number (8685216).

Almost surely, 2^105640315 is an apocalyptic number.

105640315 is a deficient number, since it is larger than the sum of its proper divisors (33323141).

105640315 is a wasteful number, since it uses less digits than its factorization.

105640315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9330.

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 105640315 is about 10278.1474498083. The cubic root of 105640315 is about 472.7264426032.

Adding to 105640315 its reverse (513046501), we get a palindrome (618686816).

The spelling of 105640315 in words is "one hundred five million, six hundred forty thousand, three hundred fifteen".