105315080 has 32 divisors (see below), whose sum is σ = 255187800. Its totient is φ = 38885376.

The previous prime is 105315073. The next prime is 105315121. The reversal of 105315080 is 80513501.

It can be written as a sum of positive squares in 4 ways, for example, as 71605444 + 33709636 = 8462^2 + 5806^2 .

It is a super-2 number, since 2×105315080² = 22182532150812800, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 100745 + ... + 101784.

Almost surely, 2^105315080 is an apocalyptic number.

105315080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105315080 is an abundant number, since it is smaller than the sum of its proper divisors (149872720).

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

105315080 is a wasteful number, since it uses less digits than its factorization.

105315080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202553 (or 202549 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

The square root of 105315080 is about 10262.3135793056. The cubic root of 105315080 is about 472.2408160204.

Adding to 105315080 its reverse (80513501), we get a palindrome (185828581).

The spelling of 105315080 in words is "one hundred five million, three hundred fifteen thousand, eighty".