102972673 has 2 divisors, whose sum is σ = 102972674. Its totient is φ = 102972672.

The previous prime is 102972643. The next prime is 102972677. The reversal of 102972673 is 376279201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88962624 + 14010049 = 9432^2 + 3743^2 .

It is a cyclic number.

It is not a de Polignac number, because 102972673 - 2²¹ = 100875521 is a prime.

It is not a weakly prime, because it can be changed into another prime (102972677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51486336 + 51486337.

It is an arithmetic number, because the mean of its divisors is an integer number (51486337).

Almost surely, 2^102972673 is an apocalyptic number.

It is an amenable number.

102972673 is a deficient number, since it is larger than the sum of its proper divisors (1).

102972673 is an equidigital number, since it uses as much as digits as its factorization.

102972673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 102972673 is about 10147.5451711239. The cubic root of 102972673 is about 468.7133558792.

The spelling of 102972673 in words is "one hundred two million, nine hundred seventy-two thousand, six hundred seventy-three".