105468615 has 64 divisors (see below), whose sum is σ = 215654400. Its totient is φ = 47907072.

The previous prime is 105468557. The next prime is 105468617. The reversal of 105468615 is 516864501.

It is not a de Polignac number, because 105468615 - 2¹¹ = 105466567 is a prime.

It is a super-2 number, since 2×105468615² = 22247257500036450, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105468615.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105468617) 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 63 ways as a sum of consecutive naturals, for example, 219946 + ... + 220424.

It is an arithmetic number, because the mean of its divisors is an integer number (3369600).

Almost surely, 2^105468615 is an apocalyptic number.

105468615 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105468615 is an abundant number, since it is smaller than the sum of its proper divisors (110185785).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105468615 is a wasteful number, since it uses less digits than its factorization.

105468615 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 105468615 is about 10269.7913805491. The cubic root of 105468615 is about 472.4701921231.

The spelling of 105468615 in words is "one hundred five million, four hundred sixty-eight thousand, six hundred fifteen".