103604228280 has 1024 divisors, whose sum is σ = 437944320000. Its totient is φ = 21252741120.

The previous prime is 103604228257. The next prime is 103604228309. The reversal of 103604228280 is 82822406301.

103604228280 is a `hidden beast` number, since 1 + 0 + 3 + 604 + 2 + 28 + 28 + 0 = 666.

It is a super-3 number, since 3×103604228280³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 236000301 + ... + 236000739.

It is an arithmetic number, because the mean of its divisors is an integer number (427680000).

Almost surely, 2^103604228280 is an apocalyptic number.

103604228280 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 103604228280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218972160000).

103604228280 is an abundant number, since it is smaller than the sum of its proper divisors (334340091720).

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

103604228280 is a wasteful number, since it uses less digits than its factorization.

103604228280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 103604228280 in words is "one hundred three billion, six hundred four million, two hundred twenty-eight thousand, two hundred eighty".