106303463063343 has 192 divisors, whose sum is σ = 213170030760960. Its totient is φ = 49393851715584.

The previous prime is 106303463063339. The next prime is 106303463063383. The reversal of 106303463063343 is 343360364303601.

106303463063343 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 0 + 3 + 4 + 6 + 3 + 0 + 633 + 4 + 3 = 666.

It is not a de Polignac number, because 106303463063343 - 2² = 106303463063339 is a prime.

It is a super-3 number, since 3×106303463063343³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106303463063383) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19535805 + ... + 24377337.

It is an arithmetic number, because the mean of its divisors is an integer number (1110260576880).

Almost surely, 2^{106303463063343} is an apocalyptic number.

106303463063343 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

106303463063343 is an abundant number, since it is smaller than the sum of its proper divisors (106866567697617).

106303463063343 is a wasteful number, since it uses less digits than its factorization.

106303463063343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4841678 (or 4841675 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 45.

The spelling of 106303463063343 in words is "one hundred six trillion, three hundred three billion, four hundred sixty-three million, sixty-three thousand, three hundred forty-three".