102805193920 has 896 divisors, whose sum is σ = 325181122560. Its totient is φ = 30364139520.

The previous prime is 102805193903. The next prime is 102805193927. The reversal of 102805193920 is 29391508201.

102805193920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (102805193927) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1059847312 + ... + 1059847408.

It is an arithmetic number, because the mean of its divisors is an integer number (362925360).

Almost surely, 2^102805193920 is an apocalyptic number.

102805193920 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 102805193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162590561280).

102805193920 is an abundant number, since it is smaller than the sum of its proper divisors (222375928640).

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

102805193920 is a wasteful number, since it uses less digits than its factorization.

102805193920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The spelling of 102805193920 in words is "one hundred two billion, eight hundred five million, one hundred ninety-three thousand, nine hundred twenty".