100281644352 has 336 divisors, whose sum is σ = 322996145472. Its totient is φ = 30725775360.

The previous prime is 100281644297. The next prime is 100281644401. The reversal of 100281644352 is 253446182001.

It is a happy number.

100281644352 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 8 + 1 + 644 + 3 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 11364102 + ... + 11372922.

It is an arithmetic number, because the mean of its divisors is an integer number (961298052).

Almost surely, 2^100281644352 is an apocalyptic number.

100281644352 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 100281644352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161498072736).

100281644352 is an abundant number, since it is smaller than the sum of its proper divisors (222714501120).

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

100281644352 is an equidigital number, since it uses as much as digits as its factorization.

100281644352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8908 (or 8886 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 100281644352 in words is "one hundred billion, two hundred eighty-one million, six hundred forty-four thousand, three hundred fifty-two".