105590672 has 40 divisors (see below), whose sum is σ = 236315232. Its totient is φ = 45171200.

The previous prime is 105590669. The next prime is 105590687. The reversal of 105590672 is 276095501.

It is a super-3 number, since 3×105590672³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 7 ways as a sum of consecutive naturals, for example, 14654 + ... + 20637.

Almost surely, 2^105590672 is an apocalyptic number.

It is an amenable number.

105590672 is an abundant number, since it is smaller than the sum of its proper divisors (130724560).

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

105590672 is a wasteful number, since it uses less digits than its factorization.

105590672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35327 (or 35321 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 35.

The square root of 105590672 is about 10275.7321880244. The cubic root of 105590672 is about 472.6523823806.

The spelling of 105590672 in words is "one hundred five million, five hundred ninety thousand, six hundred seventy-two".