1007105 has 8 divisors (see below), whose sum is σ = 1318464. Its totient is φ = 732400.

The previous prime is 1007099. The next prime is 1007117. The reversal of 1007105 is 5017001.

1007105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 1007105 - 2⁴ = 1007089 is a prime.

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 1007105.

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, 9101 + ... + 9210.

It is an arithmetic number, because the mean of its divisors is an integer number (164808).

2^1007105 is an apocalyptic number.

It is an amenable number.

1007105 is a deficient number, since it is larger than the sum of its proper divisors (311359).

1007105 is a wasteful number, since it uses less digits than its factorization.

1007105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18327.

The product of its (nonzero) digits is 35, while the sum is 14.

The square root of 1007105 is about 1003.5462121896. The cubic root of 1007105 is about 100.2362746366.

The spelling of 1007105 in words is "one million, seven thousand, one hundred five".