106798268473344 has 1344 divisors, whose sum is σ = 377841784320000. Its totient is φ = 29016403476480.

The previous prime is 106798268473331. The next prime is 106798268473361. The reversal of 106798268473344 is 443374862897601.

106798268473344 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 98 + 2 + 68 + 473 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×106798268473344² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46253038462 + ... + 46253040770.

It is an arithmetic number, because the mean of its divisors is an integer number (281132280000).

Almost surely, 2^{106798268473344} is an apocalyptic number.

106798268473344 is a gapful number since it is divisible by the number (14) 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 106798268473344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188920892160000).

106798268473344 is an abundant number, since it is smaller than the sum of its proper divisors (271043515846656).

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

106798268473344 is an equidigital number, since it uses as much as digits as its factorization.

106798268473344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 1170505728, while the sum is 72.

The spelling of 106798268473344 in words is "one hundred six trillion, seven hundred ninety-eight billion, two hundred sixty-eight million, four hundred seventy-three thousand, three hundred forty-four".