41868100 has 36 divisors (see below), whose sum is σ = 91400400. Its totient is φ = 16646560.

The previous prime is 41868091. The next prime is 41868173. The reversal of 41868100 is 186814.

It is a super-2 number, since 2×41868100² = 3505875595220000, which contains 22 as substring.

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, 16731 + ... + 19069.

It is an arithmetic number, because the mean of its divisors is an integer number (2538900).

Almost surely, 2^41868100 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 41868100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45700200).

41868100 is an abundant number, since it is smaller than the sum of its proper divisors (49532300).

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

41868100 is a wasteful number, since it uses less digits than its factorization.

41868100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532 (or 2525 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 41868100 is about 6470.5563902960. The cubic root of 41868100 is about 347.2384036074.

The spelling of 41868100 in words is "forty-one million, eight hundred sixty-eight thousand, one hundred".