100559993 has 2 divisors, whose sum is σ = 100559994. Its totient is φ = 100559992.

The previous prime is 100559971. The next prime is 100560007. The reversal of 100559993 is 399955001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75829264 + 24730729 = 8708^2 + 4973^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100559993 is a prime.

It is a super-2 number, since 2×100559993² = 20224624384320098, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100559993.

It is not a weakly prime, because it can be changed into another prime (100559093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50279996 + 50279997.

It is an arithmetic number, because the mean of its divisors is an integer number (50279997).

Almost surely, 2^100559993 is an apocalyptic number.

It is an amenable number.

100559993 is a deficient number, since it is larger than the sum of its proper divisors (1).

100559993 is an equidigital number, since it uses as much as digits as its factorization.

100559993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54675, while the sum is 41.

The square root of 100559993 is about 10027.9605603532. The cubic root of 100559993 is about 465.0236901639.

The spelling of 100559993 in words is "one hundred million, five hundred fifty-nine thousand, nine hundred ninety-three".