100610137 has 2 divisors, whose sum is σ = 100610138. Its totient is φ = 100610136.

The previous prime is 100610129. The next prime is 100610143. The reversal of 100610137 is 731016001.

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., 55666521 + 44943616 = 7461^2 + 6704^2 .

It is an emirp because it is prime and its reverse (731016001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100610137 - 2³ = 100610129 is a prime.

It is not a weakly prime, because it can be changed into another prime (100610177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50305068 + 50305069.

It is an arithmetic number, because the mean of its divisors is an integer number (50305069).

Almost surely, 2^100610137 is an apocalyptic number.

It is an amenable number.

100610137 is a deficient number, since it is larger than the sum of its proper divisors (1).

100610137 is an equidigital number, since it uses as much as digits as its factorization.

100610137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 100610137 is about 10030.4604580248. The cubic root of 100610137 is about 465.1009716369.

Adding to 100610137 its reverse (731016001), we get a palindrome (831626138).

The spelling of 100610137 in words is "one hundred million, six hundred ten thousand, one hundred thirty-seven".