106100500551077 has 2 divisors, whose sum is σ = 106100500551078. Its totient is φ = 106100500551076.

The previous prime is 106100500551007. The next prime is 106100500551139. The reversal of 106100500551077 is 770155005001601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105618085568356 + 482414982721 = 10277066^2 + 694561^2 .

It is a cyclic number.

It is not a de Polignac number, because 106100500551077 - 2¹² = 106100500546981 is a prime.

It is a super-4 number, since 4×106100500551077⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 106100500551077.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106100500551007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53050250275538 + 53050250275539.

It is an arithmetic number, because the mean of its divisors is an integer number (53050250275539).

Almost surely, 2^{106100500551077} is an apocalyptic number.

It is an amenable number.

106100500551077 is a deficient number, since it is larger than the sum of its proper divisors (1).

106100500551077 is an equidigital number, since it uses as much as digits as its factorization.

106100500551077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36750, while the sum is 38.

Adding to 106100500551077 its reverse (770155005001601), we get a palindrome (876255505552678).

The spelling of 106100500551077 in words is "one hundred six trillion, one hundred billion, five hundred million, five hundred fifty-one thousand, seventy-seven".