100838048115753 has 48 divisors (see below), whose sum is σ = 164322150720000. Its totient is φ = 59155973944704.

The previous prime is 100838048115691. The next prime is 100838048115767. The reversal of 100838048115753 is 357511840838001.

100838048115753 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 3 + 8 + 0 + 481 + 157 + 5 + 3 = 666.

It is not a de Polignac number, because 100838048115753 - 2²⁵ = 100838014561321 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100838048115753.

It is not an unprimeable number, because it can be changed into a prime (100838048165753) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187829653 + ... + 188365746.

It is an arithmetic number, because the mean of its divisors is an integer number (3423378140000).

Almost surely, 2^{100838048115753} is an apocalyptic number.

100838048115753 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100838048115753 is a deficient number, since it is larger than the sum of its proper divisors (63484102604247).

100838048115753 is a wasteful number, since it uses less digits than its factorization.

100838048115753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376195526 (or 376195523 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 100838048115753 in words is "one hundred trillion, eight hundred thirty-eight billion, forty-eight million, one hundred fifteen thousand, seven hundred fifty-three".