102993409 has 8 divisors (see below), whose sum is σ = 105376320. Its totient is φ = 100631856.

The previous prime is 102993389. The next prime is 102993427. The reversal of 102993409 is 904399201.

102993409 = 25³ + 26³ + ... + 142³.

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 102993409 - 2¹³ = 102985217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102997409) 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, 4627 + ... + 15079.

It is an arithmetic number, because the mean of its divisors is an integer number (13172040).

Almost surely, 2^102993409 is an apocalyptic number.

It is an amenable number.

102993409 is a deficient number, since it is larger than the sum of its proper divisors (2382911).

102993409 is a wasteful number, since it uses less digits than its factorization.

102993409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10679.

The product of its (nonzero) digits is 17496, while the sum is 37.

The square root of 102993409 is about 10148.5668446338. The cubic root of 102993409 is about 468.7448159664.

The spelling of 102993409 in words is "one hundred two million, nine hundred ninety-three thousand, four hundred nine".