10100165105 has 8 divisors (see below), whose sum is σ = 12124617192. Its totient is φ = 8077186048.

The previous prime is 10100165083. The next prime is 10100165113. The reversal of 10100165105 is 50156100101.

It can be written as a sum of positive squares in 4 ways, for example, as 1987019776 + 8113145329 = 44576^2 + 90073^2 .

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 10100165105 - 2⁸ = 10100164849 is a prime.

It is a super-2 number, since 2×10100165105² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

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, 353114 + ... + 380643.

It is an arithmetic number, because the mean of its divisors is an integer number (1515577149).

Almost surely, 2^10100165105 is an apocalyptic number.

It is an amenable number.

10100165105 is a deficient number, since it is larger than the sum of its proper divisors (2024452087).

10100165105 is an equidigital number, since it uses as much as digits as its factorization.

10100165105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736515.

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 10100165105 its reverse (50156100101), we get a palindrome (60256265206).

The spelling of 10100165105 in words is "ten billion, one hundred million, one hundred sixty-five thousand, one hundred five".