102081829 has 2 divisors, whose sum is σ = 102081830. Its totient is φ = 102081828.

The previous prime is 102081809. The next prime is 102081839. The reversal of 102081829 is 928180201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101969604 + 112225 = 10098^2 + 335^2 .

It is a cyclic number.

It is not a de Polignac number, because 102081829 - 2⁷ = 102081701 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102081829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102081809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51040914 + 51040915.

It is an arithmetic number, because the mean of its divisors is an integer number (51040915).

Almost surely, 2^102081829 is an apocalyptic number.

It is an amenable number.

102081829 is a deficient number, since it is larger than the sum of its proper divisors (1).

102081829 is an equidigital number, since it uses as much as digits as its factorization.

102081829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 102081829 is about 10103.5552653509. Note that the first 3 decimals coincide. The cubic root of 102081829 is about 467.3577845322.

The spelling of 102081829 in words is "one hundred two million, eighty-one thousand, eight hundred twenty-nine".