102829993 has 8 divisors (see below), whose sum is σ = 120696512. Its totient is φ = 85757616.

The previous prime is 102829967. The next prime is 102829999. The reversal of 102829993 is 399928201.

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

It is a de Polignac number, because none of the positive numbers 2^k-102829993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102829999) 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, 198255 + ... + 198772.

It is an arithmetic number, because the mean of its divisors is an integer number (15087064).

Almost surely, 2^102829993 is an apocalyptic number.

It is an amenable number.

102829993 is a deficient number, since it is larger than the sum of its proper divisors (17866519).

102829993 is an equidigital number, since it uses as much as digits as its factorization.

102829993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397071.

The product of its (nonzero) digits is 69984, while the sum is 43.

The square root of 102829993 is about 10140.5124623956. The cubic root of 102829993 is about 468.4967711242.

The spelling of 102829993 in words is "one hundred two million, eight hundred twenty-nine thousand, nine hundred ninety-three".