106655587681440 has 288 divisors, whose sum is σ = 390828218102784. Its totient is φ = 24377691985920.

The previous prime is 106655587681439. The next prime is 106655587681451. The reversal of 106655587681440 is 44186785556601.

It is a super-2 number, since 2×106655587681440² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1425439230 + ... + 1425514050.

It is an arithmetic number, because the mean of its divisors is an integer number (1357042423968).

Almost surely, 2^{106655587681440} is an apocalyptic number.

106655587681440 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 106655587681440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195414109051392).

106655587681440 is an abundant number, since it is smaller than the sum of its proper divisors (284172630421344).

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

106655587681440 is a wasteful number, since it uses less digits than its factorization.

106655587681440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135460 (or 135445 counting only the distinct ones).

The product of its (nonzero) digits is 193536000, while the sum is 66.

The spelling of 106655587681440 in words is "one hundred six trillion, six hundred fifty-five billion, five hundred eighty-seven million, six hundred eighty-one thousand, four hundred forty".