107838819 has 24 divisors (see below), whose sum is σ = 170260272. Its totient is φ = 65229120.

The previous prime is 107838817. The next prime is 107838839. The reversal of 107838819 is 918838701.

It is not a de Polignac number, because 107838819 - 2¹ = 107838817 is a prime.

It is a super-2 number, since 2×107838819² = 23258421766629522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107838817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83809 + ... + 85085.

It is an arithmetic number, because the mean of its divisors is an integer number (7094178).

Almost surely, 2^107838819 is an apocalyptic number.

107838819 is a deficient number, since it is larger than the sum of its proper divisors (62421453).

107838819 is a wasteful number, since it uses less digits than its factorization.

107838819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The square root of 107838819 is about 10384.5471254167. The cubic root of 107838819 is about 475.9832912596.

The spelling of 107838819 in words is "one hundred seven million, eight hundred thirty-eight thousand, eight hundred nineteen".