105994638 has 24 divisors (see below), whose sum is σ = 229990176. Its totient is φ = 35280000.

The previous prime is 105994619. The next prime is 105994661. The reversal of 105994638 is 836499501.

It is a happy number.

105994638 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 9 + 4 + 638 = 666.

It is a super-2 number, since 2×105994638² = 22469726569502088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105994593 and 105994602.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 9598 + ... + 17438.

It is an arithmetic number, because the mean of its divisors is an integer number (9582924).

Almost surely, 2^105994638 is an apocalyptic number.

105994638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

105994638 is an abundant number, since it is smaller than the sum of its proper divisors (123995538).

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

105994638 is a wasteful number, since it uses less digits than its factorization.

105994638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8600 (or 8597 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 105994638 is about 10295.3697359541. The cubic root of 105994638 is about 473.2543690047.

The spelling of 105994638 in words is "one hundred five million, nine hundred ninety-four thousand, six hundred thirty-eight".