105120761 has 4 divisors (see below), whose sum is σ = 107684724. Its totient is φ = 102556800.

The previous prime is 105120671. The next prime is 105120779. The reversal of 105120761 is 167021501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 167021501 = 439 ⋅380459.

It can be written as a sum of positive squares in 2 ways, for example, as 40398736 + 64722025 = 6356^2 + 8045^2 .

It is a cyclic number.

It is not a de Polignac number, because 105120761 - 2¹⁰ = 105119737 is a prime.

It is a super-2 number, since 2×105120761² = 22100748786438242, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105120361) 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, 1281920 + ... + 1282001.

It is an arithmetic number, because the mean of its divisors is an integer number (26921181).

Almost surely, 2^105120761 is an apocalyptic number.

It is an amenable number.

105120761 is a deficient number, since it is larger than the sum of its proper divisors (2563963).

105120761 is an equidigital number, since it uses as much as digits as its factorization.

105120761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2563962.

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 105120761 is about 10252.8416061110. The cubic root of 105120761 is about 471.9501901498.

It can be divided in two parts, 1051 and 20761, that added together give a palindrome (21812).

The spelling of 105120761 in words is "one hundred five million, one hundred twenty thousand, seven hundred sixty-one".