105949505 has 8 divisors (see below), whose sum is σ = 128398824. Its totient is φ = 83920000.

The previous prime is 105949469. The next prime is 105949513. The reversal of 105949505 is 505949501.

It can be written as a sum of positive squares in 4 ways, for example, as 57896881 + 48052624 = 7609^2 + 6932^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105949505 - 2¹⁶ = 105883969 is a prime.

It is a super-2 number, since 2×105949505² = 22450595219490050, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104396 + ... + 105405.

It is an arithmetic number, because the mean of its divisors is an integer number (16049853).

Almost surely, 2^105949505 is an apocalyptic number.

It is an amenable number.

105949505 is a deficient number, since it is larger than the sum of its proper divisors (22449319).

105949505 is a wasteful number, since it uses less digits than its factorization.

105949505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209907.

The product of its (nonzero) digits is 40500, while the sum is 38.

The square root of 105949505 is about 10293.1775948926. The cubic root of 105949505 is about 473.1871881793.

The spelling of 105949505 in words is "one hundred five million, nine hundred forty-nine thousand, five hundred five".