106542633106577 has 4 divisors (see below), whose sum is σ = 106543134887280. Its totient is φ = 106542131325876.

The previous prime is 106542633106561. The next prime is 106542633106619. The reversal of 106542633106577 is 775601336245601.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 106542633106577 - 2⁴ = 106542633106561 is a prime.

It is a super-2 number, since 2×106542633106577² (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 (106542633126577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 250571723 + ... + 250996560.

It is an arithmetic number, because the mean of its divisors is an integer number (26635783721820).

Almost surely, 2^{106542633106577} is an apocalyptic number.

It is an amenable number.

106542633106577 is a deficient number, since it is larger than the sum of its proper divisors (501780703).

106542633106577 is an equidigital number, since it uses as much as digits as its factorization.

106542633106577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501780702.

The product of its (nonzero) digits is 19051200, while the sum is 56.

The spelling of 106542633106577 in words is "one hundred six trillion, five hundred forty-two billion, six hundred thirty-three million, one hundred six thousand, five hundred seventy-seven".