106540363045601 has 8 divisors (see below), whose sum is σ = 113130673727400. Its totient is φ = 99985966864128.

The previous prime is 106540363045591. The next prime is 106540363045621.

106540363045601 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 13139755014400 + 93400608031201 = 3624880^2 + 9664399^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106540363045601 is a prime.

It is a super-2 number, since 2×106540363045601² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106540363045621) 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, 8978618966 + ... + 8978630831.

It is an arithmetic number, because the mean of its divisors is an integer number (14141334215925).

Almost surely, 2^{106540363045601} is an apocalyptic number.

It is an amenable number.

106540363045601 is a deficient number, since it is larger than the sum of its proper divisors (6590310681799).

106540363045601 is a wasteful number, since it uses less digits than its factorization.

106540363045601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17957250163.

The product of its (nonzero) digits is 777600, while the sum is 44.

The spelling of 106540363045601 in words is "one hundred six trillion, five hundred forty billion, three hundred sixty-three million, forty-five thousand, six hundred one".