102281553920 has 768 divisors, whose sum is σ = 326918592000. Its totient is φ = 29812064256.

The previous prime is 102281553917. The next prime is 102281553923. The reversal of 102281553920 is 29355182201.

It is an interprime number because it is at equal distance from previous prime (102281553917) and next prime (102281553923).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (102281553923) 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, 938362826 + ... + 938362934.

It is an arithmetic number, because the mean of its divisors is an integer number (425675250).

Almost surely, 2^102281553920 is an apocalyptic number.

102281553920 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 102281553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163459296000).

102281553920 is an abundant number, since it is smaller than the sum of its proper divisors (224637038080).

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

102281553920 is a wasteful number, since it uses less digits than its factorization.

102281553920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 38.

The spelling of 102281553920 in words is "one hundred two billion, two hundred eighty-one million, five hundred fifty-three thousand, nine hundred twenty".