100075606001388 has 36 divisors (see below), whose sum is σ = 253733149452328. Its totient is φ = 33257754256320.

The previous prime is 100075606001387. The next prime is 100075606001429. The reversal of 100075606001388 is 883100606570001.

100075606001388 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 7 + 5 + 6 + 0 + 600 + 1 + 38 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (100075606001387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4199199481 + ... + 4199223312.

Almost surely, 2^{100075606001388} is an apocalyptic number.

100075606001388 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100075606001388 is an abundant number, since it is smaller than the sum of its proper divisors (153657543450940).

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

100075606001388 is a wasteful number, since it uses less digits than its factorization.

100075606001388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8398423134 (or 8398423129 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 100075606001388 in words is "one hundred trillion, seventy-five billion, six hundred six million, one thousand, three hundred eighty-eight".