103512779550720 has 2496 divisors, whose sum is σ = 399948103526400. Its totient is φ = 24681841164288.

The previous prime is 103512779550679. The next prime is 103512779550737. The reversal of 103512779550720 is 27055977215301.

103512779550720 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 1 + 27 + 7 + 95 + 507 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 694716641206 + ... + 694716641354.

It is an arithmetic number, because the mean of its divisors is an integer number (160235618400).

Almost surely, 2^{103512779550720} is an apocalyptic number.

103512779550720 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 103512779550720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199974051763200).

103512779550720 is an abundant number, since it is smaller than the sum of its proper divisors (296435323975680).

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

103512779550720 is a wasteful number, since it uses less digits than its factorization.

103512779550720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 4630500, while the sum is 54.

The spelling of 103512779550720 in words is "one hundred three trillion, five hundred twelve billion, seven hundred seventy-nine million, five hundred fifty thousand, seven hundred twenty".