101664349 has 2 divisors, whose sum is σ = 101664350. Its totient is φ = 101664348.

The previous prime is 101664319. The next prime is 101664361. The reversal of 101664349 is 943466101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67815225 + 33849124 = 8235^2 + 5818^2 .

It is a cyclic number.

It is not a de Polignac number, because 101664349 - 2²⁵ = 68109917 is a prime.

It is equal to p_5851735 and since 101664349 and 5851735 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101664319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50832174 + 50832175.

It is an arithmetic number, because the mean of its divisors is an integer number (50832175).

Almost surely, 2^101664349 is an apocalyptic number.

It is an amenable number.

101664349 is a deficient number, since it is larger than the sum of its proper divisors (1).

101664349 is an equidigital number, since it uses as much as digits as its factorization.

101664349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 101664349 is about 10082.8740446363. The cubic root of 101664349 is about 466.7198025097.

The spelling of 101664349 in words is "one hundred one million, six hundred sixty-four thousand, three hundred forty-nine".