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102507661 is a prime number
BaseRepresentation
bin1100001110000…
…10010010001101
321010212221002001
412013002102031
5202220221121
614101032301
72353205104
oct607022215
9233787061
10102507661
1152954583
122a3b5691
1318311029
14d88503b
158eec991
hex61c248d

102507661 has 2 divisors, whose sum is σ = 102507662. Its totient is φ = 102507660.

The previous prime is 102507659. The next prime is 102507677. The reversal of 102507661 is 166705201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68062500 + 34445161 = 8250^2 + 5869^2 .

It is a cyclic number.

It is not a de Polignac number, because 102507661 - 21 = 102507659 is a prime.

Together with 102507659, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102507061) 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, 51253830 + 51253831.

It is an arithmetic number, because the mean of its divisors is an integer number (51253831).

Almost surely, 2102507661 is an apocalyptic number.

It is an amenable number.

102507661 is a deficient number, since it is larger than the sum of its proper divisors (1).

102507661 is an equidigital number, since it uses as much as digits as its factorization.

102507661 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 102507661 is about 10124.6067084109. The cubic root of 102507661 is about 468.0067404123.

The spelling of 102507661 in words is "one hundred two million, five hundred seven thousand, six hundred sixty-one".