100610113 has 2 divisors, whose sum is σ = 100610114. Its totient is φ = 100610112.

The previous prime is 100610093. The next prime is 100610129. The reversal of 100610113 is 311016001.

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., 98247744 + 2362369 = 9912^2 + 1537^2 .

It is a cyclic number.

It is not a de Polignac number, because 100610113 - 2²¹ = 98512961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100610093 and 100610102.

It is not a weakly prime, because it can be changed into another prime (100610143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50305056 + 50305057.

It is an arithmetic number, because the mean of its divisors is an integer number (50305057).

Almost surely, 2^100610113 is an apocalyptic number.

It is an amenable number.

100610113 is a deficient number, since it is larger than the sum of its proper divisors (1).

100610113 is an equidigital number, since it uses as much as digits as its factorization.

100610113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 100610113 is about 10030.4592616689. The cubic root of 100610113 is about 465.1009346545.

Adding to 100610113 its reverse (311016001), we get a palindrome (411626114).

The spelling of 100610113 in words is "one hundred million, six hundred ten thousand, one hundred thirteen".