103005883072512 has 864 divisors, whose sum is σ = 348180027092352. Its totient is φ = 28737810726912.

The previous prime is 103005883072501. The next prime is 103005883072537. The reversal of 103005883072512 is 215270388500301.

103005883072512 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 0 + 58 + 83 + 0 + 7 + 2 + 512 = 666.

It is a super-2 number, since 2×103005883072512² (a number of 29 digits) contains 22 as substring.

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, 64499612898 + ... + 64499614494.

It is an arithmetic number, because the mean of its divisors is an integer number (402986142468).

Almost surely, 2^{103005883072512} is an apocalyptic number.

103005883072512 is a gapful number since it is divisible by the number (12) 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 103005883072512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174090013546176).

103005883072512 is an abundant number, since it is smaller than the sum of its proper divisors (245174144019840).

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

103005883072512 is an equidigital number, since it uses as much as digits as its factorization.

103005883072512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 103005883072512 in words is "one hundred three trillion, five billion, eight hundred eighty-three million, seventy-two thousand, five hundred twelve".