107985193 has 2 divisors, whose sum is σ = 107985194. Its totient is φ = 107985192.

The previous prime is 107985187. The next prime is 107985259. The reversal of 107985193 is 391589701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106564329 + 1420864 = 10323^2 + 1192^2 .

It is a cyclic number.

It is not a de Polignac number, because 107985193 - 2²⁵ = 74430761 is a prime.

It is not a weakly prime, because it can be changed into another prime (107925193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53992596 + 53992597.

It is an arithmetic number, because the mean of its divisors is an integer number (53992597).

Almost surely, 2^107985193 is an apocalyptic number.

It is an amenable number.

107985193 is a deficient number, since it is larger than the sum of its proper divisors (1).

107985193 is an equidigital number, since it uses as much as digits as its factorization.

107985193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 68040, while the sum is 43.

The square root of 107985193 is about 10391.5924188740. The cubic root of 107985193 is about 476.1985510334.

The spelling of 107985193 in words is "one hundred seven million, nine hundred eighty-five thousand, one hundred ninety-three".