100241435340 has 144 divisors (see below), whose sum is σ = 322651824768. Its totient is φ = 25103941632.

The previous prime is 100241435321. The next prime is 100241435341. The reversal of 100241435340 is 43534142001.

It is a happy number.

100241435340 is a `hidden beast` number, since 100 + 24 + 1 + 4 + 3 + 534 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (100241435341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1381404 + ... + 1452156.

It is an arithmetic number, because the mean of its divisors is an integer number (2240637672).

Almost surely, 2^100241435340 is an apocalyptic number.

100241435340 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 100241435340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161325912384).

100241435340 is an abundant number, since it is smaller than the sum of its proper divisors (222410389428).

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

100241435340 is a wasteful number, since it uses less digits than its factorization.

100241435340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71248 (or 71243 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 100241435340 its reverse (43534142001), we get a palindrome (143775577341).

The spelling of 100241435340 in words is "one hundred billion, two hundred forty-one million, four hundred thirty-five thousand, three hundred forty".