105702162101 has 8 divisors (see below), whose sum is σ = 107746495704. Its totient is φ = 103659678720.

The previous prime is 105702162077. The next prime is 105702162107. The reversal of 105702162101 is 101261207501.

It can be written as a sum of positive squares in 4 ways, for example, as 56705896900 + 48996265201 = 238130^2 + 221351^2 .

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 105702162101 - 2²² = 105697967797 is a prime.

It is a super-2 number, since 2×105702162101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105702162107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 346916 + ... + 575981.

It is an arithmetic number, because the mean of its divisors is an integer number (13468311963).

Almost surely, 2^105702162101 is an apocalyptic number.

It is an amenable number.

105702162101 is a deficient number, since it is larger than the sum of its proper divisors (2044333603).

105702162101 is an equidigital number, since it uses as much as digits as its factorization.

105702162101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925111.

The product of its (nonzero) digits is 840, while the sum is 26.

Adding to 105702162101 its reverse (101261207501), we get a palindrome (206963369602).

The spelling of 105702162101 in words is "one hundred five billion, seven hundred two million, one hundred sixty-two thousand, one hundred one".