103022232281280 has 1120 divisors, whose sum is σ = 408627609667200. Its totient is φ = 24463235284992.

The previous prime is 103022232281279. The next prime is 103022232281291. The reversal of 103022232281280 is 82182232220301.

103022232281280 is a `hidden beast` number, since 1 + 0 + 30 + 2 + 22 + 322 + 8 + 1 + 280 = 666.

It is a super-2 number, since 2×103022232281280² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12889052964 + ... + 12889060956.

It is an arithmetic number, because the mean of its divisors is an integer number (364846080060).

Almost surely, 2^{103022232281280} is an apocalyptic number.

103022232281280 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 103022232281280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204313804833600).

103022232281280 is an abundant number, since it is smaller than the sum of its proper divisors (305605377385920).

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

103022232281280 is a wasteful number, since it uses less digits than its factorization.

103022232281280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9383 (or 9364 counting only the distinct ones).

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

The spelling of 103022232281280 in words is "one hundred three trillion, twenty-two billion, two hundred thirty-two million, two hundred eighty-one thousand, two hundred eighty".