100248042240 has 432 divisors, whose sum is σ = 357382771200. Its totient is φ = 25933160448.

The previous prime is 100248042227. The next prime is 100248042253. The reversal of 100248042240 is 42240842001.

100248042240 is a `hidden beast` number, since 100 + 2 + 480 + 42 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (100248042227) and next prime (100248042253).

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, 53693787 + ... + 53695653.

Almost surely, 2^100248042240 is an apocalyptic number.

100248042240 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 100248042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178691385600).

100248042240 is an abundant number, since it is smaller than the sum of its proper divisors (257134728960).

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

100248042240 is a wasteful number, since it uses less digits than its factorization.

100248042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 100248042240 its reverse (42240842001), we get a palindrome (142488884241).

The spelling of 100248042240 in words is "one hundred billion, two hundred forty-eight million, forty-two thousand, two hundred forty".