315105000 has 160 divisors (see below), whose sum is σ = 1125389760. Its totient is φ = 72000000.

The previous prime is 315104969. The next prime is 315105019. The reversal of 315105000 is 501513.

It is a super-2 number, since 2×315105000² = 198582322050000000, which contains 22 as substring.

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

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 39 ways as a sum of consecutive naturals, for example, 103500 + ... + 106500.

It is an arithmetic number, because the mean of its divisors is an integer number (7033686).

Almost surely, 2^315105000 is an apocalyptic number.

315105000 is a gapful number since it is divisible by the number (30) 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 315105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562694880).

315105000 is an abundant number, since it is smaller than the sum of its proper divisors (810284760).

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

315105000 is a wasteful number, since it uses less digits than its factorization.

315105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3037 (or 3018 counting only the distinct ones).

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

The square root of 315105000 is about 17751.1971427281. The cubic root of 315105000 is about 680.4848042203.

Adding to 315105000 its reverse (501513), we get a palindrome (315606513).

The spelling of 315105000 in words is "three hundred fifteen million, one hundred five thousand".