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102540649 is a prime number
BaseRepresentation
bin1100001110010…
…10010101101001
321010221121022211
412013022111221
5202222300044
614101445121
72353403221
oct607122551
9233847284
10102540649
1152977342
122a4107a1
1318323053
14d893081
159007634
hex61ca569

102540649 has 2 divisors, whose sum is σ = 102540650. Its totient is φ = 102540648.

The previous prime is 102540623. The next prime is 102540661. The reversal of 102540649 is 946045201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94090000 + 8450649 = 9700^2 + 2907^2 .

It is an emirp because it is prime and its reverse (946045201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102540649 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102540649.

It is not a weakly prime, because it can be changed into another prime (102540679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51270324 + 51270325.

It is an arithmetic number, because the mean of its divisors is an integer number (51270325).

Almost surely, 2102540649 is an apocalyptic number.

It is an amenable number.

102540649 is a deficient number, since it is larger than the sum of its proper divisors (1).

102540649 is an equidigital number, since it uses as much as digits as its factorization.

102540649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 102540649 is about 10126.2356776840. The cubic root of 102540649 is about 468.0569381257.

The spelling of 102540649 in words is "one hundred two million, five hundred forty thousand, six hundred forty-nine".