100983629 has 2 divisors, whose sum is σ = 100983630. Its totient is φ = 100983628.

The previous prime is 100983607. The next prime is 100983637. The reversal of 100983629 is 926389001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78676900 + 22306729 = 8870^2 + 4723^2 .

It is an emirp because it is prime and its reverse (926389001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100983629 - 2¹⁶ = 100918093 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100983592 and 100983601.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100983679) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50491814 + 50491815.

It is an arithmetic number, because the mean of its divisors is an integer number (50491815).

Almost surely, 2^100983629 is an apocalyptic number.

It is an amenable number.

100983629 is a deficient number, since it is larger than the sum of its proper divisors (1).

100983629 is an equidigital number, since it uses as much as digits as its factorization.

100983629 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 100983629 is about 10049.0611004213. The cubic root of 100983629 is about 465.6757877367.

The spelling of 100983629 in words is "one hundred million, nine hundred eighty-three thousand, six hundred twenty-nine".