105605994 has 32 divisors (see below), whose sum is σ = 235307520. Its totient is φ = 31372992.

The previous prime is 105605993. The next prime is 105605999. The reversal of 105605994 is 499506501.

It is a super-3 number, since 3×105605994³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105605993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21082 + ... + 25605.

It is an arithmetic number, because the mean of its divisors is an integer number (7353360).

Almost surely, 2^105605994 is an apocalyptic number.

105605994 is an abundant number, since it is smaller than the sum of its proper divisors (129701526).

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

105605994 is a wasteful number, since it uses less digits than its factorization.

105605994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46734.

The product of its (nonzero) digits is 48600, while the sum is 39.

The square root of 105605994 is about 10276.4777039606. The cubic root of 105605994 is about 472.6752430790.

The spelling of 105605994 in words is "one hundred five million, six hundred five thousand, nine hundred ninety-four".