103546216230912 has 2496 divisors, whose sum is σ = 411753711882240. Its totient is φ = 24281345949696.

The previous prime is 103546216230857. The next prime is 103546216230917. The reversal of 103546216230912 is 219032612645301.

103546216230912 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 4 + 6 + 2 + 1 + 623 + 0 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a super-3 number, since 3×103546216230912³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (103546216230917) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 116737560133 + ... + 116737561019.

It is an arithmetic number, because the mean of its divisors is an integer number (164965429440).

Almost surely, 2^{103546216230912} is an apocalyptic number.

103546216230912 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 103546216230912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205876855941120).

103546216230912 is an abundant number, since it is smaller than the sum of its proper divisors (308207495651328).

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

103546216230912 is a wasteful number, since it uses less digits than its factorization.

103546216230912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 103546216230912 in words is "one hundred three trillion, five hundred forty-six billion, two hundred sixteen million, two hundred thirty thousand, nine hundred twelve".