100552013 has 2 divisors, whose sum is σ = 100552014. Its totient is φ = 100552012.

The previous prime is 100551949. The next prime is 100552027. The reversal of 100552013 is 310255001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77492809 + 23059204 = 8803^2 + 4802^2 .

It is a cyclic number.

It is not a de Polignac number, because 100552013 - 2⁶ = 100551949 is a prime.

It is a super-2 number, since 2×100552013² = 20221414636704338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100551982 and 100552000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100552813) 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, 50276006 + 50276007.

It is an arithmetic number, because the mean of its divisors is an integer number (50276007).

Almost surely, 2^100552013 is an apocalyptic number.

It is an amenable number.

100552013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100552013 is an equidigital number, since it uses as much as digits as its factorization.

100552013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 100552013 is about 10027.5626649750. The cubic root of 100552013 is about 465.0113890917.

The spelling of 100552013 in words is "one hundred million, five hundred fifty-two thousand, thirteen".