100444862093 has 2 divisors, whose sum is σ = 100444862094. Its totient is φ = 100444862092.

The previous prime is 100444862039. The next prime is 100444862107. The reversal of 100444862093 is 390268444001.

Together with previous prime (100444862039) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87475752169 + 12969109924 = 295763^2 + 113882^2 .

It is an emirp because it is prime and its reverse (390268444001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100444862093 - 2²⁴ = 100428084877 is a prime.

It is a super-3 number, since 3×100444862093³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100444862093.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100444868093) 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 as a sum of consecutive naturals, namely, 50222431046 + 50222431047.

It is an arithmetic number, because the mean of its divisors is an integer number (50222431047).

Almost surely, 2^100444862093 is an apocalyptic number.

It is an amenable number.

100444862093 is a deficient number, since it is larger than the sum of its proper divisors (1).

100444862093 is an equidigital number, since it uses as much as digits as its factorization.

100444862093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 165888, while the sum is 41.

The spelling of 100444862093 in words is "one hundred billion, four hundred forty-four million, eight hundred sixty-two thousand, ninety-three".