161946100 has 36 divisors (see below), whose sum is σ = 352000908. Its totient is φ = 64672000.

The previous prime is 161946089. The next prime is 161946119. The reversal of 161946100 is 1649161.

161946100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 300304 + 161645796 = 548^2 + 12714^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93240 + ... + 94960.

It is an arithmetic number, because the mean of its divisors is an integer number (9777803).

Almost surely, 2^161946100 is an apocalyptic number.

161946100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

161946100 is an abundant number, since it is smaller than the sum of its proper divisors (190054808).

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

161946100 is a wasteful number, since it uses less digits than its factorization.

161946100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 161946100 is about 12725.8044932334. The cubic root of 161946100 is about 545.0757126247.

The spelling of 161946100 in words is "one hundred sixty-one million, nine hundred forty-six thousand, one hundred".