241010100 has 144 divisors (see below), whose sum is σ = 808698240. Its totient is φ = 61459200.

The previous prime is 241010087. The next prime is 241010137. The reversal of 241010100 is 1010142.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60160 + ... + 64040.

It is an arithmetic number, because the mean of its divisors is an integer number (5615960).

Almost surely, 2^241010100 is an apocalyptic number.

241010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 15524×15525.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404349120).

241010100 is an abundant number, since it is smaller than the sum of its proper divisors (567688140).

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

241010100 is a wasteful number, since it uses less digits than its factorization.

241010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3927 (or 3914 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 241010100 is about 15524.4999919482. The cubic root of 241010100 is about 622.3171185810.

Adding to 241010100 its reverse (1010142), we get a palindrome (242020242).

The spelling of 241010100 in words is "two hundred forty-one million, ten thousand, one hundred".