105316530 has 64 divisors (see below), whose sum is σ = 291973248. Its totient is φ = 24028160.

The previous prime is 105316529. The next prime is 105316531. The reversal of 105316530 is 35613501.

It is an interprime number because it is at equal distance from previous prime (105316529) and next prime (105316531).

It is a super-2 number, since 2×105316530² = 22183142982481800, 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 105316530.

It is not an unprimeable number, because it can be changed into a prime (105316531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3777 + ... + 14996.

It is an arithmetic number, because the mean of its divisors is an integer number (4562082).

Almost surely, 2^105316530 is an apocalyptic number.

105316530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105316530 is an abundant number, since it is smaller than the sum of its proper divisors (186656718).

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

105316530 is a wasteful number, since it uses less digits than its factorization.

105316530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18811.

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 105316530 is about 10262.3842258999. The cubic root of 105316530 is about 472.2429833138.

The spelling of 105316530 in words is "one hundred five million, three hundred sixteen thousand, five hundred thirty".