105021315 has 48 divisors (see below), whose sum is σ = 210165696. Its totient is φ = 47520000.

The previous prime is 105021307. The next prime is 105021317. The reversal of 105021315 is 513120501.

It is not a de Polignac number, because 105021315 - 2³ = 105021307 is a prime.

It is a super-2 number, since 2×105021315² = 22058953208658450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105021317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30165 + ... + 33465.

It is an arithmetic number, because the mean of its divisors is an integer number (4378452).

Almost surely, 2^105021315 is an apocalyptic number.

105021315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105021315 is an abundant number, since it is smaller than the sum of its proper divisors (105144381).

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

105021315 is a wasteful number, since it uses less digits than its factorization.

105021315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3420 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 105021315 is about 10247.9907786844. The cubic root of 105021315 is about 471.8013189344.

Adding to 105021315 its reverse (513120501), we get a palindrome (618141816).

The spelling of 105021315 in words is "one hundred five million, twenty-one thousand, three hundred fifteen".