103228768440 has 480 divisors, whose sum is σ = 413480667600. Its totient is φ = 23018204160.

The previous prime is 103228768417. The next prime is 103228768453. The reversal of 103228768440 is 44867822301.

It is a happy number.

103228768440 is a `hidden beast` number, since 103 + 22 + 87 + 6 + 8 + 440 = 666.

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 119 ways as a sum of consecutive naturals, for example, 6501231 + ... + 6517089.

Almost surely, 2^103228768440 is an apocalyptic number.

103228768440 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 103228768440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206740333800).

103228768440 is an abundant number, since it is smaller than the sum of its proper divisors (310251899160).

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

103228768440 is a wasteful number, since it uses less digits than its factorization.

103228768440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15937 (or 15917 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 103228768440 in words is "one hundred three billion, two hundred twenty-eight million, seven hundred sixty-eight thousand, four hundred forty".