102056993 has 8 divisors (see below), whose sum is σ = 103902216. Its totient is φ = 100224000.

The previous prime is 102056971. The next prime is 102057041. The reversal of 102056993 is 399650201.

It can be written as a sum of positive squares in 4 ways, for example, as 61199329 + 40857664 = 7823^2 + 6392^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102056993 - 2¹⁰ = 102055969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102056953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14693 + ... + 20493.

It is an arithmetic number, because the mean of its divisors is an integer number (12987777).

Almost surely, 2^102056993 is an apocalyptic number.

It is an amenable number.

102056993 is a deficient number, since it is larger than the sum of its proper divisors (1845223).

102056993 is an equidigital number, since it uses as much as digits as its factorization.

102056993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6115.

The product of its (nonzero) digits is 14580, while the sum is 35.

The square root of 102056993 is about 10102.3261182759. The cubic root of 102056993 is about 467.3198795184.

The spelling of 102056993 in words is "one hundred two million, fifty-six thousand, nine hundred ninety-three".