107182993 has 2 divisors, whose sum is σ = 107182994. Its totient is φ = 107182992.

The previous prime is 107182991. The next prime is 107183003. The reversal of 107182993 is 399281701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89264704 + 17918289 = 9448^2 + 4233^2 .

It is a cyclic number.

It is not a de Polignac number, because 107182993 - 2¹ = 107182991 is a prime.

It is a super-2 number, since 2×107182993² = 22976387976876098, which contains 22 as substring.

Together with 107182991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (107182991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53591496 + 53591497.

It is an arithmetic number, because the mean of its divisors is an integer number (53591497).

Almost surely, 2^107182993 is an apocalyptic number.

It is an amenable number.

107182993 is a deficient number, since it is larger than the sum of its proper divisors (1).

107182993 is an equidigital number, since it uses as much as digits as its factorization.

107182993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 40.

The square root of 107182993 is about 10352.9219546947. The cubic root of 107182993 is about 475.0164249168.

The spelling of 107182993 in words is "one hundred seven million, one hundred eighty-two thousand, nine hundred ninety-three".