106505552601 has 12 divisors (see below), whose sum is σ = 175818690112. Its totient is φ = 60860315736.

The previous prime is 106505552591. The next prime is 106505552611. The reversal of 106505552601 is 106255505601.

It is an interprime number because it is at equal distance from previous prime (106505552591) and next prime (106505552611).

It is not a de Polignac number, because 106505552601 - 2²⁶ = 106438443737 is a prime.

It is a super-2 number, since 2×106505552601² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106505552611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 845282101 + ... + 845282226.

Almost surely, 2^106505552601 is an apocalyptic number.

It is an amenable number.

106505552601 is a deficient number, since it is larger than the sum of its proper divisors (69313137511).

106505552601 is a wasteful number, since it uses less digits than its factorization.

106505552601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690564340 (or 1690564337 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

Subtracting from 106505552601 its reverse (106255505601), we obtain a cube (250047000 = 630³).

The spelling of 106505552601 in words is "one hundred six billion, five hundred five million, five hundred fifty-two thousand, six hundred one".