102693552000 has 512 divisors, whose sum is σ = 368903808000. Its totient is φ = 25120972800.

The previous prime is 102693551969. The next prime is 102693552007. The reversal of 102693552000 is 255396201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102693552007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124175587 + ... + 124176413.

It is an arithmetic number, because the mean of its divisors is an integer number (720515250).

Almost surely, 2^102693552000 is an apocalyptic number.

102693552000 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 102693552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184451904000).

102693552000 is an abundant number, since it is smaller than the sum of its proper divisors (266210256000).

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

102693552000 is a wasteful number, since it uses less digits than its factorization.

102693552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The spelling of 102693552000 in words is "one hundred two billion, six hundred ninety-three million, five hundred fifty-two thousand".