100100053 has 2 divisors, whose sum is σ = 100100054. Its totient is φ = 100100052.

The previous prime is 100100051. The next prime is 100100057. The reversal of 100100053 is 350001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93663684 + 6436369 = 9678^2 + 2537^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100053 - 2¹ = 100100051 is a prime.

It is a super-2 number, since 2×100100053² = 20040041221205618, which contains 22 as substring.

Together with 100100051, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050026 + 50050027.

It is an arithmetic number, because the mean of its divisors is an integer number (50050027).

Almost surely, 2^100100053 is an apocalyptic number.

It is an amenable number.

100100053 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100053 is an equidigital number, since it uses as much as digits as its factorization.

100100053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 100100053 is about 10005.0013993003. The cubic root of 100100053 is about 464.3136333913.

Adding to 100100053 its reverse (350001001), we get a palindrome (450101054).

The spelling of 100100053 in words is "one hundred million, one hundred thousand, fifty-three".