100100606050431 has 48 divisors (see below), whose sum is σ = 176931672840000. Its totient is φ = 53230725402624.

The previous prime is 100100606050331. The next prime is 100100606050453. The reversal of 100100606050431 is 134050606001001.

100100606050431 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 0 + 606 + 0 + 50 + 4 + 3 + 1 = 666.

It is not a de Polignac number, because 100100606050431 - 2⁷ = 100100606050303 is a prime.

It is a super-2 number, since 2×100100606050431² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100100606050395 and 100100606050404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100606050031) 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 47 ways as a sum of consecutive naturals, for example, 524986806 + ... + 525177443.

It is an arithmetic number, because the mean of its divisors is an integer number (3686076517500).

Almost surely, 2^{100100606050431} is an apocalyptic number.

100100606050431 is a deficient number, since it is larger than the sum of its proper divisors (76831066789569).

100100606050431 is a wasteful number, since it uses less digits than its factorization.

100100606050431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050164368 (or 1050164365 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 100100606050431 in words is "one hundred trillion, one hundred billion, six hundred six million, fifty thousand, four hundred thirty-one".