10103276353680 has 480 divisors, whose sum is σ = 34907640768000. Its totient is φ = 2617190645760.

The previous prime is 10103276353633. The next prime is 10103276353697. The reversal of 10103276353680 is 8635367230101.

10103276353680 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 3 + 2 + 7 + 635 + 3 + 6 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13138200336 + ... + 13138201104.

It is an arithmetic number, because the mean of its divisors is an integer number (72724251600).

Almost surely, 2^{10103276353680} is an apocalyptic number.

10103276353680 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 10103276353680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17453820384000).

10103276353680 is an abundant number, since it is smaller than the sum of its proper divisors (24804364414320).

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

10103276353680 is a wasteful number, since it uses less digits than its factorization.

10103276353680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 10103276353680 in words is "ten trillion, one hundred three billion, two hundred seventy-six million, three hundred fifty-three thousand, six hundred eighty".