102132761 has 2 divisors, whose sum is σ = 102132762. Its totient is φ = 102132760.

The previous prime is 102132721. The next prime is 102132769. The reversal of 102132761 is 167231201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69139225 + 32993536 = 8315^2 + 5744^2 .

It is a cyclic number.

It is not a de Polignac number, because 102132761 - 2¹⁰ = 102131737 is a prime.

It is a super-2 number, since 2×102132761² = 20862201738966242, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (102132769) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51066380 + 51066381.

It is an arithmetic number, because the mean of its divisors is an integer number (51066381).

Almost surely, 2^102132761 is an apocalyptic number.

It is an amenable number.

102132761 is a deficient number, since it is larger than the sum of its proper divisors (1).

102132761 is an equidigital number, since it uses as much as digits as its factorization.

102132761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 102132761 is about 10106.0754499459. The cubic root of 102132761 is about 467.4354983598.

Adding to 102132761 its reverse (167231201), we get a palindrome (269363962).

The spelling of 102132761 in words is "one hundred two million, one hundred thirty-two thousand, seven hundred sixty-one".