100406893 has 2 divisors, whose sum is σ = 100406894. Its totient is φ = 100406892.

The previous prime is 100406869. The next prime is 100406927. The reversal of 100406893 is 398604001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71537764 + 28869129 = 8458^2 + 5373^2 .

It is an emirp because it is prime and its reverse (398604001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100406893 - 2¹⁷ = 100275821 is a prime.

It is a super-4 number, since 4×100406893⁴ (a number of 33 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100403893) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50203446 + 50203447.

It is an arithmetic number, because the mean of its divisors is an integer number (50203447).

Almost surely, 2^100406893 is an apocalyptic number.

It is an amenable number.

100406893 is a deficient number, since it is larger than the sum of its proper divisors (1).

100406893 is an equidigital number, since it uses as much as digits as its factorization.

100406893 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 100406893 is about 10020.3239967578. The cubic root of 100406893 is about 464.7875747654.

The spelling of 100406893 in words is "one hundred million, four hundred six thousand, eight hundred ninety-three".