161871300 has 108 divisors (see below), whose sum is σ = 521196676. Its totient is φ = 41990400.

The previous prime is 161871293. The next prime is 161871313. The reversal of 161871300 is 3178161.

It can be written as a sum of positive squares in 6 ways, for example, as 17438976 + 144432324 = 4176^2 + 12018^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30870 + ... + 35730.

Almost surely, 2^161871300 is an apocalyptic number.

161871300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161871300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260598338).

161871300 is an abundant number, since it is smaller than the sum of its proper divisors (359325376).

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

161871300 is a wasteful number, since it uses less digits than its factorization.

161871300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4918 (or 4908 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 161871300 is about 12722.8652433326. The cubic root of 161871300 is about 544.9917794681.

The spelling of 161871300 in words is "one hundred sixty-one million, eight hundred seventy-one thousand, three hundred".