100938403425645 has 32 divisors (see below), whose sum is σ = 190001700570240. Its totient is φ = 50667120149760.

The previous prime is 100938403425589. The next prime is 100938403425667. The reversal of 100938403425645 is 546524304839001.

It is a happy number.

100938403425645 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 3 + 8 + 40 + 34 + 2 + 564 + 5 = 666.

It is not a de Polignac number, because 100938403425645 - 2¹² = 100938403421549 is a prime.

It is a super-3 number, since 3×100938403425645³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 100938403425591 and 100938403425600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21990935271 + ... + 21990939860.

It is an arithmetic number, because the mean of its divisors is an integer number (5937553142820).

Almost surely, 2^{100938403425645} is an apocalyptic number.

100938403425645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100938403425645 is a deficient number, since it is larger than the sum of its proper divisors (89063297144595).

100938403425645 is a wasteful number, since it uses less digits than its factorization.

100938403425645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43981875162 (or 43981875156 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 100938403425645 in words is "one hundred trillion, nine hundred thirty-eight billion, four hundred three million, four hundred twenty-five thousand, six hundred forty-five".