102629981 has 2 divisors, whose sum is σ = 102629982. Its totient is φ = 102629980.

The previous prime is 102629959. The next prime is 102629983. The reversal of 102629981 is 189926201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54257956 + 48372025 = 7366^2 + 6955^2 .

It is a cyclic number.

It is not a de Polignac number, because 102629981 - 2¹⁰ = 102628957 is a prime.

It is a super-2 number, since 2×102629981² = 21065826000120722, which contains 22 as substring.

Together with 102629983, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102629983) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51314990 + 51314991.

It is an arithmetic number, because the mean of its divisors is an integer number (51314991).

Almost surely, 2^102629981 is an apocalyptic number.

It is an amenable number.

102629981 is a deficient number, since it is larger than the sum of its proper divisors (1).

102629981 is an equidigital number, since it uses as much as digits as its factorization.

102629981 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 38.

The square root of 102629981 is about 10130.6456358911. The cubic root of 102629981 is about 468.1928202581.

The spelling of 102629981 in words is "one hundred two million, six hundred twenty-nine thousand, nine hundred eighty-one".