106533016527 has 16 divisors (see below), whose sum is σ = 171885203712. Its totient is φ = 57295067520.

The previous prime is 106533016501. The next prime is 106533016553. The reversal of 106533016527 is 725610335601.

It is an interprime number because it is at equal distance from previous prime (106533016501) and next prime (106533016553).

It is not a de Polignac number, because 106533016527 - 2¹¹ = 106533014479 is a prime.

It is a super-2 number, since 2×106533016527² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106533016627) 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 15 ways as a sum of consecutive naturals, for example, 149205549 + ... + 149206262.

It is an arithmetic number, because the mean of its divisors is an integer number (10742825232).

Almost surely, 2^106533016527 is an apocalyptic number.

106533016527 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

106533016527 is a deficient number, since it is larger than the sum of its proper divisors (65352187185).

106533016527 is a wasteful number, since it uses less digits than its factorization.

106533016527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298411838.

The product of its (nonzero) digits is 113400, while the sum is 39.

The spelling of 106533016527 in words is "one hundred six billion, five hundred thirty-three million, sixteen thousand, five hundred twenty-seven".