102829506000 has 320 divisors, whose sum is σ = 360731245056. Its totient is φ = 25049088000.

The previous prime is 102829505993. The next prime is 102829506029. The reversal of 102829506000 is 605928201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7559205 + ... + 7572795.

Almost surely, 2^102829506000 is an apocalyptic number.

102829506000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102829506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180365622528).

102829506000 is an abundant number, since it is smaller than the sum of its proper divisors (257901739056).

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

102829506000 is a wasteful number, since it uses less digits than its factorization.

102829506000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13727 (or 13711 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 102829506000 in words is "one hundred two billion, eight hundred twenty-nine million, five hundred six thousand".