106543561066527 has 96 divisors (see below), whose sum is σ = 166869192813120. Its totient is φ = 60195526410240.

The previous prime is 106543561066513. The next prime is 106543561066567. The reversal of 106543561066527 is 725660165345601.

It is not a de Polignac number, because 106543561066527 - 2²² = 106543556872223 is a prime.

It is a super-2 number, since 2×106543561066527² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106543561066567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3664172313 + ... + 3664201389.

It is an arithmetic number, because the mean of its divisors is an integer number (1738220758470).

Almost surely, 2^{106543561066527} is an apocalyptic number.

106543561066527 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

106543561066527 is a deficient number, since it is larger than the sum of its proper divisors (60325631746593).

106543561066527 is a wasteful number, since it uses less digits than its factorization.

106543561066527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39533 (or 39520 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 57.

The spelling of 106543561066527 in words is "one hundred six trillion, five hundred forty-three billion, five hundred sixty-one million, sixty-six thousand, five hundred twenty-seven".