107142457 has 2 divisors, whose sum is σ = 107142458. Its totient is φ = 107142456.

The previous prime is 107142439. The next prime is 107142467. The reversal of 107142457 is 754241701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88661056 + 18481401 = 9416^2 + 4299^2 .

It is an emirp because it is prime and its reverse (754241701) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-107142457 is a prime.

It is a super-2 number, since 2×107142457² = 22959012183993698, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (107142467) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53571228 + 53571229.

It is an arithmetic number, because the mean of its divisors is an integer number (53571229).

Almost surely, 2^107142457 is an apocalyptic number.

It is an amenable number.

107142457 is a deficient number, since it is larger than the sum of its proper divisors (1).

107142457 is an equidigital number, since it uses as much as digits as its factorization.

107142457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7840, while the sum is 31.

The square root of 107142457 is about 10350.9640613809. The cubic root of 107142457 is about 474.9565345269.

The spelling of 107142457 in words is "one hundred seven million, one hundred forty-two thousand, four hundred fifty-seven".