41084100 has 108 divisors (see below), whose sum is σ = 129991680. Its totient is φ = 10852800.

The previous prime is 41084093. The next prime is 41084111. The reversal of 41084100 is 148014.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 171781 + ... + 172019.

Almost surely, 2^41084100 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 41084100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64995840).

41084100 is an abundant number, since it is smaller than the sum of its proper divisors (88907580).

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

41084100 is a wasteful number, since it uses less digits than its factorization.

41084100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 41084100 is about 6409.6879799254. The cubic root of 41084100 is about 345.0573313670.

The spelling of 41084100 in words is "forty-one million, eighty-four thousand, one hundred".