102724993800 has 1008 divisors, whose sum is σ = 424120287600. Its totient is φ = 22926758400.

The previous prime is 102724993769. The next prime is 102724993841. The reversal of 102724993800 is 8399427201.

102724993800 is a `hidden beast` number, since 1 + 0 + 27 + 249 + 9 + 380 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 271042011 + ... + 271042389.

Almost surely, 2^102724993800 is an apocalyptic number.

102724993800 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 102724993800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212060143800).

102724993800 is an abundant number, since it is smaller than the sum of its proper divisors (321395293800).

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

102724993800 is a wasteful number, since it uses less digits than its factorization.

102724993800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 102724993800 in words is "one hundred two billion, seven hundred twenty-four million, nine hundred ninety-three thousand, eight hundred".