102993407 has 8 divisors (see below), whose sum is σ = 112447440. Its totient is φ = 93554560.

The previous prime is 102993389. The next prime is 102993427. The reversal of 102993407 is 704399201.

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

It is not a de Polignac number, because 102993407 - 2¹⁴ = 102977023 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102993427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14069 + ... + 20097.

It is an arithmetic number, because the mean of its divisors is an integer number (14055930).

Almost surely, 2^102993407 is an apocalyptic number.

102993407 is a deficient number, since it is larger than the sum of its proper divisors (9454033).

102993407 is a wasteful number, since it uses less digits than its factorization.

102993407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7593.

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 102993407 is about 10148.5667460977. The cubic root of 102993407 is about 468.7448129322.

The spelling of 102993407 in words is "one hundred two million, nine hundred ninety-three thousand, four hundred seven".