106527213262561 has 48 divisors (see below), whose sum is σ = 134512145420800. Its totient is φ = 82152481374720.

The previous prime is 106527213262451. The next prime is 106527213262567. The reversal of 106527213262561 is 165262312725601.

It is not a de Polignac number, because 106527213262561 - 2¹³ = 106527213254369 is a prime.

It is a super-2 number, since 2×106527213262561² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106527213262567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163200280 + ... + 163851718.

Almost surely, 2^{106527213262561} is an apocalyptic number.

It is an amenable number.

106527213262561 is a deficient number, since it is larger than the sum of its proper divisors (27984932158239).

106527213262561 is a wasteful number, since it uses less digits than its factorization.

106527213262561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652610 (or 652569 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 49.

The spelling of 106527213262561 in words is "one hundred six trillion, five hundred twenty-seven billion, two hundred thirteen million, two hundred sixty-two thousand, five hundred sixty-one".