103416466314300 has 72 divisors (see below), whose sum is σ = 316819386230256. Its totient is φ = 25955505269760.

The previous prime is 103416466314299. The next prime is 103416466314313. The reversal of 103416466314300 is 3413664614301.

It is a super-3 number, since 3×103416466314300³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

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, 10138864147 + ... + 10138874346.

It is an arithmetic number, because the mean of its divisors is an integer number (4400269253198).

Almost surely, 2^{103416466314300} is an apocalyptic number.

103416466314300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103416466314300 is an abundant number, since it is smaller than the sum of its proper divisors (213402919915956).

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

103416466314300 is a wasteful number, since it uses less digits than its factorization.

103416466314300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20277738527 (or 20277738520 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 103416466314300 in words is "one hundred three trillion, four hundred sixteen billion, four hundred sixty-six million, three hundred fourteen thousand, three hundred".