106729788997 has 12 divisors (see below), whose sum is σ = 115580614980. Its totient is φ = 98511873408.

The previous prime is 106729788983. The next prime is 106729789009. The reversal of 106729788997 is 799887927601.

It can be written as a sum of positive squares in 6 ways, for example, as 1827648001 + 104902140996 = 42751^2 + 323886^2 .

It is a de Polignac number, because none of the positive numbers 2^k-106729788997 is a prime.

It is a super-2 number, since 2×106729788997² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106729788917) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3631879 + ... + 3661147.

It is an arithmetic number, because the mean of its divisors is an integer number (9631717915).

Almost surely, 2^106729788997 is an apocalyptic number.

It is an amenable number.

106729788997 is a deficient number, since it is larger than the sum of its proper divisors (8850825983).

106729788997 is a wasteful number, since it uses less digits than its factorization.

106729788997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50872 (or 50859 counting only the distinct ones).

The product of its (nonzero) digits is 192036096, while the sum is 73.

The spelling of 106729788997 in words is "one hundred six billion, seven hundred twenty-nine million, seven hundred eighty-eight thousand, nine hundred ninety-seven".