100281482028 has 384 divisors, whose sum is σ = 338082877440. Its totient is φ = 25293337344.

The previous prime is 100281482017. The next prime is 100281482039. The reversal of 100281482028 is 820284182001.

It is an interprime number because it is at equal distance from previous prime (100281482017) and next prime (100281482039).

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

It is a junction number, because it is equal to n+sod(n) for n = 100281481983 and 100281482001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18306826 + ... + 18312302.

It is an arithmetic number, because the mean of its divisors is an integer number (880424160).

Almost surely, 2^100281482028 is an apocalyptic number.

100281482028 is a gapful number since it is divisible by the number (18) 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 100281482028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169041438720).

100281482028 is an abundant number, since it is smaller than the sum of its proper divisors (237801395412).

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

100281482028 is a wasteful number, since it uses less digits than its factorization.

100281482028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5545 (or 5525 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 100281482028 in words is "one hundred billion, two hundred eighty-one million, four hundred eighty-two thousand, twenty-eight".