100105617 has 4 divisors (see below), whose sum is σ = 133474160. Its totient is φ = 66737076.

The previous prime is 100105573. The next prime is 100105619. The reversal of 100105617 is 716501001.

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 not a de Polignac number, because 100105617 - 2¹⁰ = 100104593 is a prime.

It is a super-2 number, since 2×100105617² = 20042269109901378, 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 = 100105593 and 100105602.

It is not an unprimeable number, because it can be changed into a prime (100105619) 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, 16684267 + ... + 16684272.

It is an arithmetic number, because the mean of its divisors is an integer number (33368540).

Almost surely, 2^100105617 is an apocalyptic number.

It is an amenable number.

100105617 is a deficient number, since it is larger than the sum of its proper divisors (33368543).

100105617 is an equidigital number, since it uses as much as digits as its factorization.

100105617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33368542.

The product of its (nonzero) digits is 210, while the sum is 21.

The square root of 100105617 is about 10005.2794563670. The cubic root of 100105617 is about 464.3222360946.

Adding to 100105617 its reverse (716501001), we get a palindrome (816606618).

The spelling of 100105617 in words is "one hundred million, one hundred five thousand, six hundred seventeen".