103315052945664 has 288 divisors, whose sum is σ = 354084465530880. Its totient is φ = 29102830848000.

The previous prime is 103315052945653. The next prime is 103315052945683. The reversal of 103315052945664 is 466549250513301.

103315052945664 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 1 + 5 + 0 + 529 + 4 + 56 + 64 = 666.

103315052945664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 103315052945664.

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 31 ways as a sum of consecutive naturals, for example, 11602162 + ... + 18472689.

It is an arithmetic number, because the mean of its divisors is an integer number (1229459949760).

Almost surely, 2^{103315052945664} is an apocalyptic number.

103315052945664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103315052945664 is an abundant number, since it is smaller than the sum of its proper divisors (250769412585216).

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

103315052945664 is an equidigital number, since it uses as much as digits as its factorization.

103315052945664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30074954 (or 30074934 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 103315052945664 in words is "one hundred three trillion, three hundred fifteen billion, fifty-two million, nine hundred forty-five thousand, six hundred sixty-four".