106176712210704 has 60 divisors (see below), whose sum is σ = 297662313468156. Its totient is φ = 35330899009536.

The previous prime is 106176712210637. The next prime is 106176712210717. The reversal of 106176712210704 is 407012217671601.

106176712210704 is a `hidden beast` number, since 1 + 0 + 617 + 6 + 7 + 1 + 2 + 21 + 0 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 80030057186304 + 26146655024400 = 8945952^2 + 5113380^2 .

It is a super-2 number, since 2×106176712210704² (a number of 29 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 106176712210704.

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 11 ways as a sum of consecutive naturals, for example, 638858229 + ... + 639024404.

Almost surely, 2^{106176712210704} is an apocalyptic number.

It is an amenable number.

106176712210704 is an abundant number, since it is smaller than the sum of its proper divisors (191485601257452).

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

106176712210704 is a wasteful number, since it uses less digits than its factorization.

106176712210704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277883224 (or 1277883215 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 106176712210704 in words is "one hundred six trillion, one hundred seventy-six billion, seven hundred twelve million, two hundred ten thousand, seven hundred four".