106551064515653 has 8 divisors (see below), whose sum is σ = 106650515066328. Its totient is φ = 106451618194944.

The previous prime is 106551064515439. The next prime is 106551064515703. The reversal of 106551064515653 is 356515460155601.

It can be written as a sum of positive squares in 4 ways, for example, as 4935431025889 + 101615633489764 = 2221583^2 + 10080458^2 .

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 106551064515653 - 2⁴² = 102153018004549 is a prime.

It is a super-2 number, since 2×106551064515653² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106551064515595 and 106551064515604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106551064515353) 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, 50517875 + ... + 52584767.

It is an arithmetic number, because the mean of its divisors is an integer number (13331314383291).

Almost surely, 2^{106551064515653} is an apocalyptic number.

It is an amenable number.

106551064515653 is a deficient number, since it is larger than the sum of its proper divisors (99450550675).

106551064515653 is a wasteful number, since it uses less digits than its factorization.

106551064515653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114983.

The product of its (nonzero) digits is 8100000, while the sum is 53.

The spelling of 106551064515653 in words is "one hundred six trillion, five hundred fifty-one billion, sixty-four million, five hundred fifteen thousand, six hundred fifty-three".