105638799 has 32 divisors (see below), whose sum is σ = 171072000. Its totient is φ = 56604672.

The previous prime is 105638777. The next prime is 105638809. The reversal of 105638799 is 997836501.

It is not a de Polignac number, because 105638799 - 2⁷ = 105638671 is a prime.

It is a super-2 number, since 2×105638799² = 22319111708324802, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105638719) 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 31 ways as a sum of consecutive naturals, for example, 177847 + ... + 178439.

It is an arithmetic number, because the mean of its divisors is an integer number (5346000).

Almost surely, 2^105638799 is an apocalyptic number.

105638799 is a deficient number, since it is larger than the sum of its proper divisors (65433201).

105638799 is a wasteful number, since it uses less digits than its factorization.

105638799 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119.

The product of its (nonzero) digits is 408240, while the sum is 48.

The square root of 105638799 is about 10278.0737008449. The cubic root of 105638799 is about 472.7241812925.

The spelling of 105638799 in words is "one hundred five million, six hundred thirty-eight thousand, seven hundred ninety-nine".