106152533507573 has 32 divisors (see below), whose sum is σ = 128759627673600. Its totient is φ = 85487702517504.

The previous prime is 106152533507569. The next prime is 106152533507591. The reversal of 106152533507573 is 375705335251601.

It is not a de Polignac number, because 106152533507573 - 2² = 106152533507569 is a prime.

It is a super-2 number, since 2×106152533507573² (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 (106152533507873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4307261 + ... + 15193997.

It is an arithmetic number, because the mean of its divisors is an integer number (4023738364800).

Almost surely, 2^{106152533507573} is an apocalyptic number.

It is an amenable number.

106152533507573 is a deficient number, since it is larger than the sum of its proper divisors (22607094166027).

106152533507573 is a wasteful number, since it uses less digits than its factorization.

106152533507573 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10887369.

The product of its (nonzero) digits is 9922500, while the sum is 53.

The spelling of 106152533507573 in words is "one hundred six trillion, one hundred fifty-two billion, five hundred thirty-three million, five hundred seven thousand, five hundred seventy-three".