161676368100 has 243 divisors, whose sum is σ = 549278938299. Its totient is φ = 39758659200.

The previous prime is 161676368093. The next prime is 161676368129. The reversal of 161676368100 is 1863676161.

The square root of 161676368100 is 402090.

It is a perfect power (a square), and thus also a powerful number.

161676368100 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 7 + 636 + 8 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41672323044 + 120004045056 = 204138^2 + 346416^2 .

It is a super-4 number, since 4×161676368100⁴ (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 156814585 + ... + 156815615.

Almost surely, 2^161676368100 is an apocalyptic number.

161676368100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

161676368100 is the 402090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161676368100

161676368100 is an abundant number, since it is smaller than the sum of its proper divisors (387602570199).

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

161676368100 is a wasteful number, since it uses less digits than its factorization.

161676368100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 161676368100 in words is "one hundred sixty-one billion, six hundred seventy-six million, three hundred sixty-eight thousand, one hundred".