105993315 has 24 divisors (see below), whose sum is σ = 191711520. Its totient is φ = 54071424.

The previous prime is 105993313. The next prime is 105993341. The reversal of 105993315 is 513399501.

It is not a de Polignac number, because 105993315 - 2¹ = 105993313 is a prime.

It is a super-2 number, since 2×105993315² = 22469165649378450, 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 105993315.

It is not an unprimeable number, because it can be changed into a prime (105993313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50170 + ... + 52239.

It is an arithmetic number, because the mean of its divisors is an integer number (7987980).

Almost surely, 2^105993315 is an apocalyptic number.

105993315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105993315 is a deficient number, since it is larger than the sum of its proper divisors (85718205).

105993315 is a wasteful number, since it uses less digits than its factorization.

105993315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102443 (or 102440 counting only the distinct ones).

The product of its (nonzero) digits is 18225, while the sum is 36.

The square root of 105993315 is about 10295.3054835687. The cubic root of 105993315 is about 473.2523999801.

The spelling of 105993315 in words is "one hundred five million, nine hundred ninety-three thousand, three hundred fifteen".