100433646336 has 216 divisors, whose sum is σ = 279183288384. Its totient is φ = 32049704960.

The previous prime is 100433646323. The next prime is 100433646343. The reversal of 100433646336 is 633646334001.

It is a junction number, because it is equal to n+sod(n) for n = 100433646294 and 100433646303.

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 23 ways as a sum of consecutive naturals, for example, 84610735 + ... + 84611921.

It is an arithmetic number, because the mean of its divisors is an integer number (1292515224).

Almost surely, 2^100433646336 is an apocalyptic number.

100433646336 is a gapful number since it is divisible by the number (16) 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 100433646336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139591644192).

100433646336 is an abundant number, since it is smaller than the sum of its proper divisors (178749642048).

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

100433646336 is a wasteful number, since it uses less digits than its factorization.

100433646336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 39.

The spelling of 100433646336 in words is "one hundred billion, four hundred thirty-three million, six hundred forty-six thousand, three hundred thirty-six".