100075405416 has 64 divisors (see below), whose sum is σ = 287178441600. Its totient is φ = 28468101888.

The previous prime is 100075405369. The next prime is 100075405429. The reversal of 100075405416 is 614504570001.

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 15 ways as a sum of consecutive naturals, for example, 1262155 + ... + 1339098.

It is an arithmetic number, because the mean of its divisors is an integer number (4487163150).

Almost surely, 2^100075405416 is an apocalyptic number.

It is an amenable number.

100075405416 is an abundant number, since it is smaller than the sum of its proper divisors (187103036184).

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

100075405416 is a wasteful number, since it uses less digits than its factorization.

100075405416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601498 (or 2601494 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

Adding to 100075405416 its reverse (614504570001), we get a palindrome (714579975417).

The spelling of 100075405416 in words is "one hundred billion, seventy-five million, four hundred five thousand, four hundred sixteen".