100433536564 has 72 divisors (see below), whose sum is σ = 190231576920. Its totient is φ = 46235185152.

The previous prime is 100433536517. The next prime is 100433536591. The reversal of 100433536564 is 465635334001.

It can be written as a sum of positive squares in 12 ways, for example, as 19180034064 + 81253502500 = 138492^2 + 285050^2 .

It is a congruent number.

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, 97224592 + ... + 97225624.

It is an arithmetic number, because the mean of its divisors is an integer number (2642105235).

Almost surely, 2^100433536564 is an apocalyptic number.

It is an amenable number.

100433536564 is a deficient number, since it is larger than the sum of its proper divisors (89798040356).

100433536564 is a wasteful number, since it uses less digits than its factorization.

100433536564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 40.

The spelling of 100433536564 in words is "one hundred billion, four hundred thirty-three million, five hundred thirty-six thousand, five hundred sixty-four".