106035440572001 has 4 divisors (see below), whose sum is σ = 106035490512900. Its totient is φ = 106035390631104.

The previous prime is 106035440571971. The next prime is 106035440572003. The reversal of 106035440572001 is 100275044530601.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 35282697125776 + 70752743446225 = 5939924^2 + 8411465^2 .

It is a cyclic number.

It is not a de Polignac number, because 106035440572001 - 2¹⁸ = 106035440309857 is a prime.

It is a super-2 number, since 2×106035440572001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106035440572003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21637316 + ... + 26081493.

It is an arithmetic number, because the mean of its divisors is an integer number (26508872628225).

Almost surely, 2^{106035440572001} is an apocalyptic number.

It is an amenable number.

106035440572001 is a deficient number, since it is larger than the sum of its proper divisors (49940899).

106035440572001 is an equidigital number, since it uses as much as digits as its factorization.

106035440572001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49940898.

The product of its (nonzero) digits is 100800, while the sum is 38.

The spelling of 106035440572001 in words is "one hundred six trillion, thirty-five billion, four hundred forty million, five hundred seventy-two thousand, one".