105366761 has 12 divisors (see below), whose sum is σ = 113718000. Its totient is φ = 97356960.

The previous prime is 105366721. The next prime is 105366763. The reversal of 105366761 is 167663501.

It is a happy number.

It is not a de Polignac number, because 105366761 - 2¹⁸ = 105104617 is a prime.

It is a super-2 number, since 2×105366761² = 22204308647262242, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105366763) 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, 30290 + ... + 33588.

It is an arithmetic number, because the mean of its divisors is an integer number (9476500).

Almost surely, 2^105366761 is an apocalyptic number.

It is an amenable number.

105366761 is a deficient number, since it is larger than the sum of its proper divisors (8351239).

105366761 is an equidigital number, since it uses as much as digits as its factorization.

105366761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3400 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 105366761 is about 10264.8312699235. The cubic root of 105366761 is about 472.3180505642.

The spelling of 105366761 in words is "one hundred five million, three hundred sixty-six thousand, seven hundred sixty-one".