106743847216752 has 120 divisors (see below), whose sum is σ = 306816426755280. Its totient is φ = 34618722969600.

The previous prime is 106743847216703. The next prime is 106743847216763. The reversal of 106743847216752 is 257612748347601.

106743847216752 is a `hidden beast` number, since 1 + 0 + 6 + 74 + 38 + 472 + 1 + 67 + 5 + 2 = 666.

It is a super-2 number, since 2×106743847216752² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 106743847216752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221676024 + ... + 222157032.

It is an arithmetic number, because the mean of its divisors is an integer number (2556803556294).

Almost surely, 2^{106743847216752} is an apocalyptic number.

106743847216752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106743847216752 is an abundant number, since it is smaller than the sum of its proper divisors (200072579538528).

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

106743847216752 is a wasteful number, since it uses less digits than its factorization.

106743847216752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522711 (or 522702 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 106743847216752 in words is "one hundred six trillion, seven hundred forty-three billion, eight hundred forty-seven million, two hundred sixteen thousand, seven hundred fifty-two".