106729788996 has 30 divisors (see below), whose sum is σ = 279012751710. Its totient is φ = 35576596224.

The previous prime is 106729788983. The next prime is 106729789009. The reversal of 106729788996 is 699887927601.

It is an interprime number because it is at equal distance from previous prime (106729788983) and next prime (106729789009).

It can be written as a sum of positive squares in only one way, i.e., 105618500100 + 1111288896 = 324990^2 + 33336^2 .

It is a super-3 number, since 3×106729788996³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 164706141 + ... + 164706788.

It is an arithmetic number, because the mean of its divisors is an integer number (9300425057).

Almost surely, 2^106729788996 is an apocalyptic number.

It is an amenable number.

106729788996 is an abundant number, since it is smaller than the sum of its proper divisors (172282962714).

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

106729788996 is a wasteful number, since it uses less digits than its factorization.

106729788996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329412945 (or 329412934 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 72.

The spelling of 106729788996 in words is "one hundred six billion, seven hundred twenty-nine million, seven hundred eighty-eight thousand, nine hundred ninety-six".