102483763200 has 1512 divisors, whose sum is σ = 463960268928. Its totient is φ = 21162885120.

The previous prime is 102483763121. The next prime is 102483763219. The reversal of 102483763200 is 2367384201.

It is a happy number.

102483763200 is a `hidden beast` number, since 10 + 2 + 4 + 8 + 3 + 7 + 632 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2180505577 + ... + 2180505623.

Almost surely, 2^102483763200 is an apocalyptic number.

102483763200 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 102483763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231980134464).

102483763200 is an abundant number, since it is smaller than the sum of its proper divisors (361476505728).

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

102483763200 is a wasteful number, since it uses less digits than its factorization.

102483763200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 102483763200 in words is "one hundred two billion, four hundred eighty-three million, seven hundred sixty-three thousand, two hundred".