100481001984 has 640 divisors, whose sum is σ = 337395548160. Its totient is φ = 29506498560.

The previous prime is 100481001983. The next prime is 100481002003. The reversal of 100481001984 is 489100184001.

It is a super-2 number, since 2×100481001984² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (100481001983) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 791188929 + ... + 791189055.

It is an arithmetic number, because the mean of its divisors is an integer number (527180544).

Almost surely, 2^100481001984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100481001984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168697774080).

100481001984 is an abundant number, since it is smaller than the sum of its proper divisors (236914546176).

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

100481001984 is an equidigital number, since it uses as much as digits as its factorization.

100481001984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

Adding to 100481001984 its reverse (489100184001), we get a palindrome (589581185985).

The spelling of 100481001984 in words is "one hundred billion, four hundred eighty-one million, one thousand, nine hundred eighty-four".