106242904571104 has 48 divisors (see below), whose sum is σ = 240477951748608. Its totient is φ = 45260022632832.

The previous prime is 106242904571039. The next prime is 106242904571119. The reversal of 106242904571104 is 401175409242601.

It is a super-2 number, since 2×106242904571104² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1420018524 + ... + 1420093339.

It is an arithmetic number, because the mean of its divisors is an integer number (5009957328096).

Almost surely, 2^{106242904571104} is an apocalyptic number.

106242904571104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106242904571104 is an abundant number, since it is smaller than the sum of its proper divisors (134235047177504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106242904571104 is a wasteful number, since it uses less digits than its factorization.

106242904571104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2840112047 (or 2840112039 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 106242904571104 in words is "one hundred six trillion, two hundred forty-two billion, nine hundred four million, five hundred seventy-one thousand, one hundred four".