100041600 has 192 divisors, whose sum is σ = 349464240. Its totient is φ = 25067520.

The previous prime is 100041589. The next prime is 100041649. The reversal of 100041600 is 6140001.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162894 + ... + 163506.

Almost surely, 2^100041600 is an apocalyptic number.

100041600 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 100041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174732120).

100041600 is an abundant number, since it is smaller than the sum of its proper divisors (249422640).

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

100041600 is a wasteful number, since it uses less digits than its factorization.

100041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 100041600 is about 10002.0797837250. The cubic root of 100041600 is about 464.2232378034.

Adding to 100041600 its reverse (6140001), we get a palindrome (106181601).

The spelling of 100041600 in words is "one hundred million, forty-one thousand, six hundred".