81874100 has 180 divisors, whose sum is σ = 233401728. Its totient is φ = 24696000.

The previous prime is 81874073. The next prime is 81874109. The reversal of 81874100 is 147818.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81874109) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2641085 + ... + 2641115.

Almost surely, 2^81874100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81874100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116700864).

81874100 is an abundant number, since it is smaller than the sum of its proper divisors (151527628).

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

81874100 is a wasteful number, since it uses less digits than its factorization.

81874100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 29.

The square root of 81874100 is about 9048.4308031835. The cubic root of 81874100 is about 434.2256890682.

The spelling of 81874100 in words is "eighty-one million, eight hundred seventy-four thousand, one hundred".