102929967000 has 1024 divisors, whose sum is σ = 430230528000. Its totient is φ = 22270464000.

The previous prime is 102929966989. The next prime is 102929967017. The reversal of 102929967000 is 769929201.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 286712821 + ... + 286713179.

It is an arithmetic number, because the mean of its divisors is an integer number (420147000).

Almost surely, 2^102929967000 is an apocalyptic number.

102929967000 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 102929967000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215115264000).

102929967000 is an abundant number, since it is smaller than the sum of its proper divisors (327300561000).

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

102929967000 is a wasteful number, since it uses less digits than its factorization.

102929967000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 102929967000 in words is "one hundred two billion, nine hundred twenty-nine million, nine hundred sixty-seven thousand".