103396805280 has 288 divisors, whose sum is σ = 376121491200. Its totient is φ = 25790109696.

The previous prime is 103396805251. The next prime is 103396805297. The reversal of 103396805280 is 82508693301.

It is a happy number.

103396805280 is a `hidden beast` number, since 1 + 0 + 33 + 96 + 8 + 0 + 528 + 0 = 666.

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

It is a super-2 number, since 2×103396805280² (a number of 23 digits) contains 22 as substring.

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

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, 2137522 + ... + 2185358.

It is an arithmetic number, because the mean of its divisors is an integer number (1305977400).

Almost surely, 2^103396805280 is an apocalyptic number.

103396805280 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 103396805280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188060745600).

103396805280 is an abundant number, since it is smaller than the sum of its proper divisors (272724685920).

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

103396805280 is a wasteful number, since it uses less digits than its factorization.

103396805280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47956 (or 47945 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 103396805280 in words is "one hundred three billion, three hundred ninety-six million, eight hundred five thousand, two hundred eighty".