107315819 has 16 divisors (see below), whose sum is σ = 124632480. Its totient is φ = 91549440.

The previous prime is 107315797. The next prime is 107315821. The reversal of 107315819 is 918513701.

It is a cyclic number.

It is not a de Polignac number, because 107315819 - 2⁸ = 107315563 is a prime.

It is a super-2 number, since 2×107315819² = 23033370015281522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107315869) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4829 + ... + 15425.

It is an arithmetic number, because the mean of its divisors is an integer number (7789530).

Almost surely, 2^107315819 is an apocalyptic number.

107315819 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

107315819 is a deficient number, since it is larger than the sum of its proper divisors (17316661).

107315819 is a wasteful number, since it uses less digits than its factorization.

107315819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10670.

The product of its (nonzero) digits is 7560, while the sum is 35.

The square root of 107315819 is about 10359.3348724713. The cubic root of 107315819 is about 475.2125645114.

The spelling of 107315819 in words is "one hundred seven million, three hundred fifteen thousand, eight hundred nineteen".