106241314001 has 8 divisors (see below), whose sum is σ = 109307826600. Its totient is φ = 103197432960.

The previous prime is 106241313977. The next prime is 106241314013. The reversal of 106241314001 is 100413142601.

It can be written as a sum of positive squares in 4 ways, for example, as 42333474001 + 63907840000 = 205751^2 + 252800^2 .

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

It is not a de Polignac number, because 106241314001 - 2²² = 106237119697 is a prime.

It is a super-2 number, since 2×106241314001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106241314031) 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, 5648366 + ... + 5667143.

It is an arithmetic number, because the mean of its divisors is an integer number (13663478325).

Almost surely, 2^106241314001 is an apocalyptic number.

It is an amenable number.

106241314001 is a deficient number, since it is larger than the sum of its proper divisors (3066512599).

106241314001 is a wasteful number, since it uses less digits than its factorization.

106241314001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11315779.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 106241314001 its reverse (100413142601), we get a palindrome (206654456602).

The spelling of 106241314001 in words is "one hundred six billion, two hundred forty-one million, three hundred fourteen thousand, one".