101284457 has 2 divisors, whose sum is σ = 101284458. Its totient is φ = 101284456.

The previous prime is 101284441. The next prime is 101284489. The reversal of 101284457 is 754482101.

It is a happy number.

It is an a-pointer prime, because the next prime (101284489) can be obtained adding 101284457 to its sum of digits (32).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101284096 + 361 = 10064^2 + 19^2 .

It is a cyclic number.

It is not a de Polignac number, because 101284457 - 2⁴ = 101284441 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101284427) 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, 50642228 + 50642229.

It is an arithmetic number, because the mean of its divisors is an integer number (50642229).

Almost surely, 2^101284457 is an apocalyptic number.

It is an amenable number.

101284457 is a deficient number, since it is larger than the sum of its proper divisors (1).

101284457 is an equidigital number, since it uses as much as digits as its factorization.

101284457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 101284457 is about 10064.0179351986. The cubic root of 101284457 is about 466.1377419510.

The spelling of 101284457 in words is "one hundred one million, two hundred eighty-four thousand, four hundred fifty-seven".