102572629 has 2 divisors, whose sum is σ = 102572630. Its totient is φ = 102572628.

The previous prime is 102572627. The next prime is 102572651. The reversal of 102572629 is 926275201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70593604 + 31979025 = 8402^2 + 5655^2 .

It is a cyclic number.

It is not a de Polignac number, because 102572629 - 2¹ = 102572627 is a prime.

It is a super-2 number, since 2×102572629² = 21042288439943282, which contains 22 as substring.

Together with 102572627, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 102572594 and 102572603.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102572627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51286314 + 51286315.

It is an arithmetic number, because the mean of its divisors is an integer number (51286315).

Almost surely, 2^102572629 is an apocalyptic number.

It is an amenable number.

102572629 is a deficient number, since it is larger than the sum of its proper divisors (1).

102572629 is an equidigital number, since it uses as much as digits as its factorization.

102572629 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 102572629 is about 10127.8146211313. The cubic root of 102572629 is about 468.1055916928.

The spelling of 102572629 in words is "one hundred two million, five hundred seventy-two thousand, six hundred twenty-nine".