105466761 has 12 divisors (see below), whose sum is σ = 156458692. Its totient is φ = 68410656.

The previous prime is 105466741. The next prime is 105466787. The reversal of 105466761 is 167664501.

It can be written as a sum of positive squares in 2 ways, for example, as 93605625 + 11861136 = 9675^2 + 3444^2 .

It is not a de Polignac number, because 105466761 - 2⁵ = 105466729 is a prime.

It is a super-2 number, since 2×105466761² = 22246475351662242, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105466721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158026 + ... + 158691.

Almost surely, 2^105466761 is an apocalyptic number.

It is an amenable number.

105466761 is a deficient number, since it is larger than the sum of its proper divisors (50991931).

105466761 is a wasteful number, since it uses less digits than its factorization.

105466761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316760 (or 316757 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 105466761 is about 10269.7011154171. The cubic root of 105466761 is about 472.4674236380.

The spelling of 105466761 in words is "one hundred five million, four hundred sixty-six thousand, seven hundred sixty-one".