105320000 has 70 divisors (see below), whose sum is σ = 261258558. Its totient is φ = 42112000.

The previous prime is 105319987. The next prime is 105320003. The reversal of 105320000 is 23501.

It can be written as a sum of positive squares in 5 ways, for example, as 60590656 + 44729344 = 7784^2 + 6688^2 .

It is a super-2 number, since 2×105320000² = 22184604800000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105320003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 38684 + ... + 41316.

Almost surely, 2^105320000 is an apocalyptic number.

105320000 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 105320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130629279).

105320000 is an abundant number, since it is smaller than the sum of its proper divisors (155938558).

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

105320000 is an frugal number, since it uses more digits than its factorization.

105320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 105320000 is about 10262.5532885340. The cubic root of 105320000 is about 472.2481697904.

Adding to 105320000 its reverse (23501), we get a palindrome (105343501).

The spelling of 105320000 in words is "one hundred five million, three hundred twenty thousand".