105736149 has 6 divisors (see below), whose sum is σ = 152730006. Its totient is φ = 70490760.

The previous prime is 105736087. The next prime is 105736151. The reversal of 105736149 is 941637501.

It can be written as a sum of positive squares in only one way, i.e., 86155524 + 19580625 = 9282^2 + 4425^2 .

It is not a de Polignac number, because 105736149 - 2¹⁶ = 105670613 is a prime.

It is a super-2 number, since 2×105736149² = 22360266410700402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105736199) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5874222 + ... + 5874239.

It is an arithmetic number, because the mean of its divisors is an integer number (25455001).

Almost surely, 2^105736149 is an apocalyptic number.

It is an amenable number.

105736149 is a deficient number, since it is larger than the sum of its proper divisors (46993857).

105736149 is a wasteful number, since it uses less digits than its factorization.

105736149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11748467 (or 11748464 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 105736149 is about 10282.8084198822. The cubic root of 105736149 is about 472.8693475586.

The spelling of 105736149 in words is "one hundred five million, seven hundred thirty-six thousand, one hundred forty-nine".