105310500 has 48 divisors (see below), whose sum is σ = 306668544. Its totient is φ = 28082400.

The previous prime is 105310489. The next prime is 105310501. The reversal of 105310500 is 5013501.

105310500 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105310500² = 22180602820500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

105310500 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 105310500.

It is not an unprimeable number, because it can be changed into a prime (105310501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33604 + ... + 36603.

It is an arithmetic number, because the mean of its divisors is an integer number (6388928).

Almost surely, 2^105310500 is an apocalyptic number.

105310500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105310500 is an abundant number, since it is smaller than the sum of its proper divisors (201358044).

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

105310500 is a wasteful number, since it uses less digits than its factorization.

105310500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70229 (or 70217 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 105310500 is about 10262.0904303168. The cubic root of 105310500 is about 472.2339702319.

The spelling of 105310500 in words is "one hundred five million, three hundred ten thousand, five hundred".