105607949 has 8 divisors (see below), whose sum is σ = 106504632. Its totient is φ = 104715520.

The previous prime is 105607933. The next prime is 105607951. The reversal of 105607949 is 949706501.

It can be written as a sum of positive squares in 4 ways, for example, as 15015625 + 90592324 = 3875^2 + 9518^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 105607949 - 2⁴ = 105607933 is a prime.

It is a super-2 number, since 2×105607949² = 22306077783973202, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105607849) 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, 64667 + ... + 66279.

It is an arithmetic number, because the mean of its divisors is an integer number (13313079).

Almost surely, 2^105607949 is an apocalyptic number.

It is an amenable number.

105607949 is a deficient number, since it is larger than the sum of its proper divisors (896683).

105607949 is a wasteful number, since it uses less digits than its factorization.

105607949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2127.

The product of its (nonzero) digits is 68040, while the sum is 41.

The square root of 105607949 is about 10276.5728236606. The cubic root of 105607949 is about 472.6781598150.

The spelling of 105607949 in words is "one hundred five million, six hundred seven thousand, nine hundred forty-nine".