107257021 has 2 divisors, whose sum is σ = 107257022. Its totient is φ = 107257020.

The previous prime is 107257019. The next prime is 107257061. The reversal of 107257021 is 120752701.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80102500 + 27154521 = 8950^2 + 5211^2 .

It is an emirp because it is prime and its reverse (120752701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 107257021 - 2¹ = 107257019 is a prime.

Together with 107257019, 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 (107257061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53628510 + 53628511.

It is an arithmetic number, because the mean of its divisors is an integer number (53628511).

Almost surely, 2^107257021 is an apocalyptic number.

It is an amenable number.

107257021 is a deficient number, since it is larger than the sum of its proper divisors (1).

107257021 is an equidigital number, since it uses as much as digits as its factorization.

107257021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 980, while the sum is 25.

The square root of 107257021 is about 10356.4965601307. The cubic root of 107257021 is about 475.1257594992.

The spelling of 107257021 in words is "one hundred seven million, two hundred fifty-seven thousand, twenty-one".