100459993 has 2 divisors, whose sum is σ = 100459994. Its totient is φ = 100459992.

The previous prime is 100459981. The next prime is 100460033. The reversal of 100459993 is 399954001.

It is an a-pointer prime, because the next prime (100460033) can be obtained adding 100459993 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95316169 + 5143824 = 9763^2 + 2268^2 .

It is an emirp because it is prime and its reverse (399954001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100459993 - 2²¹ = 98362841 is a prime.

It is not a weakly prime, because it can be changed into another prime (100459693) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50229996 + 50229997.

It is an arithmetic number, because the mean of its divisors is an integer number (50229997).

Almost surely, 2^100459993 is an apocalyptic number.

It is an amenable number.

100459993 is a deficient number, since it is larger than the sum of its proper divisors (1).

100459993 is an equidigital number, since it uses as much as digits as its factorization.

100459993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 43740, while the sum is 40.

The square root of 100459993 is about 10022.9732614629. The cubic root of 100459993 is about 464.8694943430.

The spelling of 100459993 in words is "one hundred million, four hundred fifty-nine thousand, nine hundred ninety-three".