106747228394880 has 512 divisors, whose sum is σ = 360678998016000. Its totient is φ = 26814985666560.

The previous prime is 106747228394867. The next prime is 106747228394903. The reversal of 106747228394880 is 88493822747601.

It is a super-2 number, since 2×106747228394880² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 400495896 + ... + 400762344.

It is an arithmetic number, because the mean of its divisors is an integer number (704451168000).

Almost surely, 2^{106747228394880} is an apocalyptic number.

106747228394880 is a gapful number since it is divisible by the number (10) 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 106747228394880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180339499008000).

106747228394880 is an abundant number, since it is smaller than the sum of its proper divisors (253931769621120).

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

106747228394880 is a wasteful number, since it uses less digits than its factorization.

106747228394880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266682 (or 266670 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 69.

The spelling of 106747228394880 in words is "one hundred six trillion, seven hundred forty-seven billion, two hundred twenty-eight million, three hundred ninety-four thousand, eight hundred eighty".