107457829 has 2 divisors, whose sum is σ = 107457830. Its totient is φ = 107457828.

The previous prime is 107457809. The next prime is 107457841. The reversal of 107457829 is 928754701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86527204 + 20930625 = 9302^2 + 4575^2 .

It is a cyclic number.

It is not a de Polignac number, because 107457829 - 2¹⁵ = 107425061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (107457809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53728914 + 53728915.

It is an arithmetic number, because the mean of its divisors is an integer number (53728915).

Almost surely, 2^107457829 is an apocalyptic number.

It is an amenable number.

107457829 is a deficient number, since it is larger than the sum of its proper divisors (1).

107457829 is an equidigital number, since it uses as much as digits as its factorization.

107457829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 141120, while the sum is 43.

The square root of 107457829 is about 10366.1868109735. The cubic root of 107457829 is about 475.4220868707.

The spelling of 107457829 in words is "one hundred seven million, four hundred fifty-seven thousand, eight hundred twenty-nine".