1000105417 has 4 divisors (see below), whose sum is σ = 1007300560. Its totient is φ = 992910276.

The previous prime is 1000105387. The next prime is 1000105423. The reversal of 1000105417 is 7145010001.

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 1000105417 - 2¹⁵ = 1000072649 is a prime.

It is a super-2 number, since 2×1000105417² = 2000421690225487778, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000105394 and 1000105403.

It is not an unprimeable number, because it can be changed into a prime (1000105487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3597363 + ... + 3597640.

It is an arithmetic number, because the mean of its divisors is an integer number (251825140).

Almost surely, 2^1000105417 is an apocalyptic number.

It is an amenable number.

1000105417 is a deficient number, since it is larger than the sum of its proper divisors (7195143).

1000105417 is an equidigital number, since it uses as much as digits as its factorization.

1000105417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7195142.

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 1000105417 is about 31624.4433468796. The cubic root of 1000105417 is about 1000.0351377653.

Adding to 1000105417 its reverse (7145010001), we get a palindrome (8145115418).

The spelling of 1000105417 in words is "one billion, one hundred five thousand, four hundred seventeen".