100142162417 has 6 divisors (see below), whose sum is σ = 110073616674. Its totient is φ = 91038329360.

The previous prime is 100142162401. The next prime is 100142162423. The reversal of 100142162417 is 714261241001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 73767103201 + 26375059216 = 271601^2 + 162404^2 .

It is not a de Polignac number, because 100142162417 - 2⁴ = 100142162401 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100142162417.

It is not an unprimeable number, because it can be changed into a prime (100142162437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 413810468 + ... + 413810709.

It is an arithmetic number, because the mean of its divisors is an integer number (18345602779).

Almost surely, 2^100142162417 is an apocalyptic number.

It is an amenable number.

100142162417 is a deficient number, since it is larger than the sum of its proper divisors (9931454257).

100142162417 is an equidigital number, since it uses as much as digits as its factorization.

100142162417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827621199 (or 827621188 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The spelling of 100142162417 in words is "one hundred billion, one hundred forty-two million, one hundred sixty-two thousand, four hundred seventeen".