101684137 has 2 divisors, whose sum is σ = 101684138. Its totient is φ = 101684136.

The previous prime is 101684131. The next prime is 101684159. The reversal of 101684137 is 731486101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101123136 + 561001 = 10056^2 + 749^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101684137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101684099 and 101684108.

It is not a weakly prime, because it can be changed into another prime (101684131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50842068 + 50842069.

It is an arithmetic number, because the mean of its divisors is an integer number (50842069).

Almost surely, 2^101684137 is an apocalyptic number.

It is an amenable number.

101684137 is a deficient number, since it is larger than the sum of its proper divisors (1).

101684137 is an equidigital number, since it uses as much as digits as its factorization.

101684137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 101684137 is about 10083.8552647289. The cubic root of 101684137 is about 466.7500814043.

The spelling of 101684137 in words is "one hundred one million, six hundred eighty-four thousand, one hundred thirty-seven".