102102993 has 12 divisors (see below), whose sum is σ = 147583540. Its totient is φ = 68021856.

The previous prime is 102102977. The next prime is 102103007. The reversal of 102102993 is 399201201.

It can be written as a sum of positive squares in 2 ways, for example, as 36687249 + 65415744 = 6057^2 + 8088^2 .

It is not a de Polignac number, because 102102993 - 2⁴ = 102102977 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102102893) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14463 + ... + 20331.

Almost surely, 2^102102993 is an apocalyptic number.

It is an amenable number.

102102993 is a deficient number, since it is larger than the sum of its proper divisors (45480547).

102102993 is a wasteful number, since it uses less digits than its factorization.

102102993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7808 (or 7805 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 102102993 is about 10104.6025651680. The cubic root of 102102993 is about 467.3900804421.

It can be divided in two parts, 10210 and 2993, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 102102993 in words is "one hundred two million, one hundred two thousand, nine hundred ninety-three".