105991048 has 8 divisors (see below), whose sum is σ = 198733230. Its totient is φ = 52995520.

The previous prime is 105991033. The next prime is 105991049. The reversal of 105991048 is 840199501.

It can be written as a sum of positive squares in only one way, i.e., 99241444 + 6749604 = 9962^2 + 2598^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×105991048² = 22468204512276608, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 105990998 and 105991016.

It is not an unprimeable number, because it can be changed into a prime (105991049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6624433 + ... + 6624448.

Almost surely, 2^105991048 is an apocalyptic number.

It is an amenable number.

105991048 is a deficient number, since it is larger than the sum of its proper divisors (92742182).

105991048 is a wasteful number, since it uses less digits than its factorization.

105991048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13248887 (or 13248883 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 37.

The square root of 105991048 is about 10295.1953842557. The cubic root of 105991048 is about 473.2490259597.

The spelling of 105991048 in words is "one hundred five million, nine hundred ninety-one thousand, forty-eight".