106451144410051 has 12 divisors (see below), whose sum is σ = 124619655092448. Its totient is φ = 90662667116112.

The previous prime is 106451144410033. The next prime is 106451144410069. The reversal of 106451144410051 is 150014441154601.

It is an interprime number because it is at equal distance from previous prime (106451144410033) and next prime (106451144410069).

It is not a de Polignac number, because 106451144410051 - 2¹⁵ = 106451144377283 is a prime.

It is a super-2 number, since 2×106451144410051² (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 (106451144410151) 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 11 ways as a sum of consecutive naturals, for example, 6918694011 + ... + 6918709396.

It is an arithmetic number, because the mean of its divisors is an integer number (10384971257704).

Almost surely, 2^{106451144410051} is an apocalyptic number.

106451144410051 is a deficient number, since it is larger than the sum of its proper divisors (18168510682397).

106451144410051 is a wasteful number, since it uses less digits than its factorization.

106451144410051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13837403578 (or 13837403571 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

Adding to 106451144410051 its reverse (150014441154601), we get a palindrome (256465585564652).

The spelling of 106451144410051 in words is "one hundred six trillion, four hundred fifty-one billion, one hundred forty-four million, four hundred ten thousand, fifty-one".