106242655601641 has 8 divisors (see below), whose sum is σ = 116354407700160. Its totient is φ = 96407937807312.

The previous prime is 106242655601633. The next prime is 106242655601699. The reversal of 106242655601641 is 146106556242601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106242655601641 - 2³ = 106242655601633 is a prime.

It is a super-2 number, since 2×106242655601641² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106242655601611) 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 7 ways as a sum of consecutive naturals, for example, 69258575245 + ... + 69258576778.

It is an arithmetic number, because the mean of its divisors is an integer number (14544300962520).

Almost surely, 2^{106242655601641} is an apocalyptic number.

It is an amenable number.

106242655601641 is a deficient number, since it is larger than the sum of its proper divisors (10111752098519).

106242655601641 is a wasteful number, since it uses less digits than its factorization.

106242655601641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138517152095.

The product of its (nonzero) digits is 2073600, while the sum is 49.

The spelling of 106242655601641 in words is "one hundred six trillion, two hundred forty-two billion, six hundred fifty-five million, six hundred one thousand, six hundred forty-one".