103057585344 has 168 divisors, whose sum is σ = 338138747648. Its totient is φ = 29397634560.

The previous prime is 103057585339. The next prime is 103057585373. The reversal of 103057585344 is 443585750301.

It is a happy number.

103057585344 is a `hidden beast` number, since 1 + 0 + 30 + 5 + 7 + 585 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 103057585344.

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 23 ways as a sum of consecutive naturals, for example, 2523939 + ... + 2564445.

Almost surely, 2^103057585344 is an apocalyptic number.

103057585344 is a gapful number since it is divisible by the number (14) 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 103057585344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169069373824).

103057585344 is an abundant number, since it is smaller than the sum of its proper divisors (235081162304).

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

103057585344 is a wasteful number, since it uses less digits than its factorization.

103057585344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41163 (or 41150 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 103057585344 in words is "one hundred three billion, fifty-seven million, five hundred eighty-five thousand, three hundred forty-four".