106315080 has 32 divisors (see below), whose sum is σ = 318945600. Its totient is φ = 28350656.

The previous prime is 106315031. The next prime is 106315103. The reversal of 106315080 is 80513601.

It is a super-2 number, since 2×106315080² = 22605792470812800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 106315080.

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, 442860 + ... + 443099.

It is an arithmetic number, because the mean of its divisors is an integer number (9967050).

Almost surely, 2^106315080 is an apocalyptic number.

106315080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106315080 is an abundant number, since it is smaller than the sum of its proper divisors (212630520).

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

106315080 is a wasteful number, since it uses less digits than its factorization.

106315080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885973 (or 885969 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 106315080 is about 10310.9204244820. The cubic root of 106315080 is about 473.7308019409.

Adding to 106315080 its reverse (80513601), we get a palindrome (186828681).

The spelling of 106315080 in words is "one hundred six million, three hundred fifteen thousand, eighty".