100056401 has 2 divisors, whose sum is σ = 100056402. Its totient is φ = 100056400.

The previous prime is 100056377. The next prime is 100056403. The reversal of 100056401 is 104650001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65529025 + 34527376 = 8095^2 + 5876^2 .

It is a cyclic number.

It is not a de Polignac number, because 100056401 - 2²² = 95862097 is a prime.

It is a super-2 number, since 2×100056401² = 20022566762145602, which contains 22 as substring.

Together with 100056403, it forms a pair of twin primes.

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 100056401.

It is not a weakly prime, because it can be changed into another prime (100056403) 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 as a sum of consecutive naturals, namely, 50028200 + 50028201.

It is an arithmetic number, because the mean of its divisors is an integer number (50028201).

Almost surely, 2^100056401 is an apocalyptic number.

It is an amenable number.

100056401 is a deficient number, since it is larger than the sum of its proper divisors (1).

100056401 is an equidigital number, since it uses as much as digits as its factorization.

100056401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 100056401 is about 10002.8196524780. The cubic root of 100056401 is about 464.2461303779.

The spelling of 100056401 in words is "one hundred million, fifty-six thousand, four hundred one".