101996137 has 2 divisors, whose sum is σ = 101996138. Its totient is φ = 101996136.

The previous prime is 101996131. The next prime is 101996171. The reversal of 101996137 is 731699101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76230361 + 25765776 = 8731^2 + 5076^2 .

It is a cyclic number.

It is not a de Polignac number, because 101996137 - 2¹⁵ = 101963369 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101996096 and 101996105.

It is not a weakly prime, because it can be changed into another prime (101996131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50998068 + 50998069.

It is an arithmetic number, because the mean of its divisors is an integer number (50998069).

Almost surely, 2^101996137 is an apocalyptic number.

It is an amenable number.

101996137 is a deficient number, since it is larger than the sum of its proper divisors (1).

101996137 is an equidigital number, since it uses as much as digits as its factorization.

101996137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10206, while the sum is 37.

The square root of 101996137 is about 10099.3136895534. The cubic root of 101996137 is about 467.2269743278.

The spelling of 101996137 in words is "one hundred one million, nine hundred ninety-six thousand, one hundred thirty-seven".