105461333945 has 16 divisors (see below), whose sum is σ = 138595684608. Its totient is φ = 76400701440.

The previous prime is 105461333921. The next prime is 105461333963. The reversal of 105461333945 is 549333164501.

It is not a de Polignac number, because 105461333945 - 2⁶ = 105461333881 is a prime.

It is a super-2 number, since 2×105461333945² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105461333896 and 105461333905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3716369 + ... + 3744638.

It is an arithmetic number, because the mean of its divisors is an integer number (8662230288).

Almost surely, 2^105461333945 is an apocalyptic number.

It is an amenable number.

105461333945 is a deficient number, since it is larger than the sum of its proper divisors (33134350663).

105461333945 is a wasteful number, since it uses less digits than its factorization.

105461333945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7461280.

The product of its (nonzero) digits is 583200, while the sum is 44.

The spelling of 105461333945 in words is "one hundred five billion, four hundred sixty-one million, three hundred thirty-three thousand, nine hundred forty-five".