105736131 has 8 divisors (see below), whose sum is σ = 156646160. Its totient is φ = 70490736.

The previous prime is 105736087. The next prime is 105736151. The reversal of 105736131 is 131637501.

105736131 is a `hidden beast` number, since 1 + 0 + 573 + 61 + 31 = 666.

It is not a de Polignac number, because 105736131 - 2¹⁰ = 105735107 is a prime.

It is a super-2 number, since 2×105736131² = 22360258797698322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3916153 = 105736131 / (1 + 0 + 5 + 7 + 3 + 6 + 1 + 3 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105736095 and 105736104.

It is not an unprimeable number, because it can be changed into a prime (105736151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1958050 + ... + 1958103.

It is an arithmetic number, because the mean of its divisors is an integer number (19580770).

Almost surely, 2^105736131 is an apocalyptic number.

105736131 is a deficient number, since it is larger than the sum of its proper divisors (50910029).

105736131 is an equidigital number, since it uses as much as digits as its factorization.

105736131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3916162 (or 3916156 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 105736131 is about 10282.8075446349. The cubic root of 105736131 is about 472.8693207256.

The spelling of 105736131 in words is "one hundred five million, seven hundred thirty-six thousand, one hundred thirty-one".