105288761 has 4 divisors (see below), whose sum is σ = 106092624. Its totient is φ = 104484900.

The previous prime is 105288731. The next prime is 105288773. The reversal of 105288761 is 167882501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 167882501 = 7877 ⋅21313.

It is a cyclic number.

It is not a de Polignac number, because 105288761 - 2¹⁰ = 105287737 is a prime.

It is a super-2 number, since 2×105288761² = 22171446385830242, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105288731) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 401735 + ... + 401996.

It is an arithmetic number, because the mean of its divisors is an integer number (26523156).

Almost surely, 2^105288761 is an apocalyptic number.

It is an amenable number.

105288761 is a deficient number, since it is larger than the sum of its proper divisors (803863).

105288761 is an equidigital number, since it uses as much as digits as its factorization.

105288761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803862.

The product of its (nonzero) digits is 26880, while the sum is 38.

The square root of 105288761 is about 10261.0311859969. The cubic root of 105288761 is about 472.2014739447.

The spelling of 105288761 in words is "one hundred five million, two hundred eighty-eight thousand, seven hundred sixty-one".