164952101 has 2 divisors, whose sum is σ = 164952102. Its totient is φ = 164952100.

The previous prime is 164952083. The next prime is 164952107. The reversal of 164952101 is 101259461.

164952101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 136072225 + 28879876 = 11665^2 + 5374^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-164952101 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164952107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82476050 + 82476051.

It is an arithmetic number, because the mean of its divisors is an integer number (82476051).

Almost surely, 2^164952101 is an apocalyptic number.

It is an amenable number.

164952101 is a deficient number, since it is larger than the sum of its proper divisors (1).

164952101 is an equidigital number, since it uses as much as digits as its factorization.

164952101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 164952101 is about 12843.3679772870. The cubic root of 164952101 is about 548.4275760160.

The spelling of 164952101 in words is "one hundred sixty-four million, nine hundred fifty-two thousand, one hundred one".