105742913 has 4 divisors (see below), whose sum is σ = 107017008. Its totient is φ = 104468820.

The previous prime is 105742841. The next prime is 105742939. The reversal of 105742913 is 319247501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 105742913 - 2²⁴ = 88965697 is a prime.

It is a super-3 number, since 3×105742913³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105742913.

It is not an unprimeable number, because it can be changed into a prime (105742943) 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, 636923 + ... + 637088.

It is an arithmetic number, because the mean of its divisors is an integer number (26754252).

Almost surely, 2^105742913 is an apocalyptic number.

It is an amenable number.

105742913 is a deficient number, since it is larger than the sum of its proper divisors (1274095).

105742913 is an equidigital number, since it uses as much as digits as its factorization.

105742913 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274094.

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 105742913 is about 10283.1373130966. The cubic root of 105742913 is about 472.8794305816.

The spelling of 105742913 in words is "one hundred five million, seven hundred forty-two thousand, nine hundred thirteen".