106039092768 has 48 divisors (see below), whose sum is σ = 318117280320. Its totient is φ = 30296883456.

The previous prime is 106039092767. The next prime is 106039092811. The reversal of 106039092768 is 867290930601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106039092768² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106039092768.

It is not an unprimeable number, because it can be changed into a prime (106039092767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78897463 + ... + 78898806.

It is an arithmetic number, because the mean of its divisors is an integer number (6627443340).

Almost surely, 2^106039092768 is an apocalyptic number.

It is an amenable number.

106039092768 is an abundant number, since it is smaller than the sum of its proper divisors (212078187552).

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

106039092768 is a wasteful number, since it uses less digits than its factorization.

106039092768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157796289 (or 157796281 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 106039092768 in words is "one hundred six billion, thirty-nine million, ninety-two thousand, seven hundred sixty-eight".