106102602561 has 16 divisors (see below), whose sum is σ = 142701090048. Its totient is φ = 70120736400.

The previous prime is 106102602553. The next prime is 106102602577. The reversal of 106102602561 is 165206201601.

It is not a de Polignac number, because 106102602561 - 2³ = 106102602553 is a prime.

It is a super-3 number, since 3×106102602561³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (106102602161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229626 + ... + 514716.

It is an arithmetic number, because the mean of its divisors is an integer number (8918818128).

Almost surely, 2^106102602561 is an apocalyptic number.

It is an amenable number.

106102602561 is a deficient number, since it is larger than the sum of its proper divisors (36598487487).

106102602561 is a wasteful number, since it uses less digits than its factorization.

106102602561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286172.

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 106102602561 in words is "one hundred six billion, one hundred two million, six hundred two thousand, five hundred sixty-one".