102993508800 has 2016 divisors, whose sum is σ = 485362934784. Its totient is φ = 20901888000.

The previous prime is 102993508757. The next prime is 102993508801. The reversal of 102993508800 is 8805399201.

It is a happy number.

102993508800 is a `hidden beast` number, since 1 + 0 + 299 + 350 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102993508801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1450612765 + ... + 1450612835.

It is an arithmetic number, because the mean of its divisors is an integer number (240755424).

Almost surely, 2^102993508800 is an apocalyptic number.

102993508800 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 102993508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242681467392).

102993508800 is an abundant number, since it is smaller than the sum of its proper divisors (382369425984).

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

102993508800 is a wasteful number, since it uses less digits than its factorization.

102993508800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 102993508800 in words is "one hundred two billion, nine hundred ninety-three million, five hundred eight thousand, eight hundred".