102829992 has 32 divisors (see below), whose sum is σ = 260916000. Its totient is φ = 33764544.

The previous prime is 102829967. The next prime is 102829999. The reversal of 102829992 is 299928201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102829999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30367 + ... + 33582.

It is an arithmetic number, because the mean of its divisors is an integer number (8153625).

Almost surely, 2^102829992 is an apocalyptic number.

102829992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102829992 is an abundant number, since it is smaller than the sum of its proper divisors (158086008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102829992 is a wasteful number, since it uses less digits than its factorization.

102829992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64025 (or 64021 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 102829992 is about 10140.5124130884. The cubic root of 102829992 is about 468.4967696055.

The spelling of 102829992 in words is "one hundred two million, eight hundred twenty-nine thousand, nine hundred ninety-two".