102228917760 has 480 divisors, whose sum is σ = 360739098720. Its totient is φ = 26752057344.

The previous prime is 102228917743. The next prime is 102228917773. The reversal of 102228917760 is 67719822201.

It is a happy number.

102228917760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 438750604 + ... + 438750836.

It is an arithmetic number, because the mean of its divisors is an integer number (751539789).

Almost surely, 2^102228917760 is an apocalyptic number.

102228917760 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 102228917760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180369549360).

102228917760 is an abundant number, since it is smaller than the sum of its proper divisors (258510180960).

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

102228917760 is a wasteful number, since it uses less digits than its factorization.

102228917760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 102228917760 in words is "one hundred two billion, two hundred twenty-eight million, nine hundred seventeen thousand, seven hundred sixty".