103282779168 has 288 divisors, whose sum is σ = 315735428736. Its totient is φ = 31941955584.

The previous prime is 103282779167. The next prime is 103282779209. The reversal of 103282779168 is 861977282301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (103282779167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151218955 + ... + 151219637.

It is an arithmetic number, because the mean of its divisors is an integer number (1096303572).

Almost surely, 2^103282779168 is an apocalyptic number.

103282779168 is a gapful number since it is divisible by the number (18) 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 103282779168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157867714368).

103282779168 is an abundant number, since it is smaller than the sum of its proper divisors (212452649568).

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

103282779168 is a wasteful number, since it uses less digits than its factorization.

103282779168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 103282779168 in words is "one hundred three billion, two hundred eighty-two million, seven hundred seventy-nine thousand, one hundred sixty-eight".