100938403425647 has 16 divisors (see below), whose sum is σ = 106093109422080. Its totient is φ = 95935552696032.

The previous prime is 100938403425589. The next prime is 100938403425667. The reversal of 100938403425647 is 746524304839001.

It is a happy number.

It is not a de Polignac number, because 100938403425647 - 2¹⁰ = 100938403424623 is a prime.

It is a super-2 number, since 2×100938403425647² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100938403425592 and 100938403425601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100938403425667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143999447 + ... + 144698712.

It is an arithmetic number, because the mean of its divisors is an integer number (6630819338880).

It is a 1-persistent number, because it is pandigital, but 2⋅100938403425647 = 201876806851294 is not.

Almost surely, 2^{100938403425647} is an apocalyptic number.

100938403425647 is a deficient number, since it is larger than the sum of its proper divisors (5154705996433).

100938403425647 is a wasteful number, since it uses less digits than its factorization.

100938403425647 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288698422.

The product of its (nonzero) digits is 17418240, while the sum is 56.

The spelling of 100938403425647 in words is "one hundred trillion, nine hundred thirty-eight billion, four hundred three million, four hundred twenty-five thousand, six hundred forty-seven".