105050961 has 24 divisors (see below), whose sum is σ = 155900160. Its totient is φ = 68140800.

The previous prime is 105050921. The next prime is 105050987. The reversal of 105050961 is 169050501.

It is not a de Polignac number, because 105050961 - 2¹¹ = 105048913 is a prime.

It is a super-2 number, since 2×105050961² = 22071408814047042, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (105050921) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 49441 + ... + 51521.

It is an arithmetic number, because the mean of its divisors is an integer number (6495840).

Almost surely, 2^105050961 is an apocalyptic number.

It is an amenable number.

105050961 is a deficient number, since it is larger than the sum of its proper divisors (50849199).

105050961 is a wasteful number, since it uses less digits than its factorization.

105050961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 105050961 is about 10249.4371064952. The cubic root of 105050961 is about 471.8457089898.

The spelling of 105050961 in words is "one hundred five million, fifty thousand, nine hundred sixty-one".