100433813280 has 48 divisors (see below), whose sum is σ = 316366513344. Its totient is φ = 26782350080.

The previous prime is 100433813257. The next prime is 100433813281. The reversal of 100433813280 is 82318334001.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (100433813281) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 104618076 + ... + 104619035.

It is an arithmetic number, because the mean of its divisors is an integer number (6590969028).

Almost surely, 2^100433813280 is an apocalyptic number.

100433813280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100433813280 is an abundant number, since it is smaller than the sum of its proper divisors (215932700064).

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

100433813280 is a wasteful number, since it uses less digits than its factorization.

100433813280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209237129 (or 209237121 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 100433813280 in words is "one hundred billion, four hundred thirty-three million, eight hundred thirteen thousand, two hundred eighty".