100252490112 has 288 divisors, whose sum is σ = 307390005000. Its totient is φ = 31275417600.

The previous prime is 100252490071. The next prime is 100252490147. The reversal of 100252490112 is 211094252001.

100252490112 is a `hidden beast` number, since 10 + 0 + 2 + 52 + 490 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 223279264 + ... + 223279712.

Almost surely, 2^100252490112 is an apocalyptic number.

100252490112 is a gapful number since it is divisible by the number (12) 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 100252490112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153695002500).

100252490112 is an abundant number, since it is smaller than the sum of its proper divisors (207137514888).

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

100252490112 is a wasteful number, since it uses less digits than its factorization.

100252490112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 100252490112 in words is "one hundred billion, two hundred fifty-two million, four hundred ninety thousand, one hundred twelve".