101616629 has 2 divisors, whose sum is σ = 101616630. Its totient is φ = 101616628.

The previous prime is 101616601. The next prime is 101616631. The reversal of 101616629 is 926616101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88642225 + 12974404 = 9415^2 + 3602^2 .

It is a cyclic number.

It is not a de Polignac number, because 101616629 - 2²⁰ = 100568053 is a prime.

Together with 101616631, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 101616595 and 101616604.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101616329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50808314 + 50808315.

It is an arithmetic number, because the mean of its divisors is an integer number (50808315).

Almost surely, 2^101616629 is an apocalyptic number.

It is an amenable number.

101616629 is a deficient number, since it is larger than the sum of its proper divisors (1).

101616629 is an equidigital number, since it uses as much as digits as its factorization.

101616629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 101616629 is about 10080.5073781035. The cubic root of 101616629 is about 466.6467668952.

The spelling of 101616629 in words is "one hundred one million, six hundred sixteen thousand, six hundred twenty-nine".