102663783000 has 384 divisors, whose sum is σ = 368135539200. Its totient is φ = 25732512000.

The previous prime is 102663782983. The next prime is 102663783007. The reversal of 102663783000 is 387366201.

It is a happy number.

102663783000 is a `hidden beast` number, since 10 + 2 + 6 + 637 + 8 + 3 + 0 + 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 not an unprimeable number, because it can be changed into a prime (102663783007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22398709 + ... + 22403291.

It is an arithmetic number, because the mean of its divisors is an integer number (958686300).

Almost surely, 2^102663783000 is an apocalyptic number.

102663783000 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 102663783000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184067769600).

102663783000 is an abundant number, since it is smaller than the sum of its proper divisors (265471756200).

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

102663783000 is a wasteful number, since it uses less digits than its factorization.

102663783000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4760 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 102663783000 in words is "one hundred two billion, six hundred sixty-three million, seven hundred eighty-three thousand".