100738004531675 has 48 divisors (see below), whose sum is σ = 144620850816000. Its totient is φ = 68177795212800.

The previous prime is 100738004531657. The next prime is 100738004531683. The reversal of 100738004531675 is 576135400837001.

It is not a de Polignac number, because 100738004531675 - 2²⁸ = 100737736096219 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35963795 + ... + 38663555.

It is an arithmetic number, because the mean of its divisors is an integer number (3012934392000).

Almost surely, 2^{100738004531675} is an apocalyptic number.

100738004531675 is a deficient number, since it is larger than the sum of its proper divisors (43882846284325).

100738004531675 is a wasteful number, since it uses less digits than its factorization.

100738004531675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702556 (or 2702551 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 50.

The spelling of 100738004531675 in words is "one hundred trillion, seven hundred thirty-eight billion, four million, five hundred thirty-one thousand, six hundred seventy-five".