105310000 has 50 divisors (see below), whose sum is σ = 254990252. Its totient is φ = 42120000.

The previous prime is 105309979. The next prime is 105310013. The reversal of 105310000 is 13501.

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×105310000² = 22180392200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 4735 + ... + 15265.

Almost surely, 2^105310000 is an apocalyptic number.

105310000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127495126).

105310000 is an abundant number, since it is smaller than the sum of its proper divisors (149680252).

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

105310000 is an equidigital number, since it uses as much as digits as its factorization.

105310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10559 (or 10538 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 105310000 is about 10262.0660687797. The cubic root of 105310000 is about 472.2332228630.

Adding to 105310000 its reverse (13501), we get a palindrome (105323501).

The spelling of 105310000 in words is "one hundred five million, three hundred ten thousand".