106324178655420 has 288 divisors, whose sum is σ = 357631589113344. Its totient is φ = 25351065331200.

The previous prime is 106324178655413. The next prime is 106324178655469. The reversal of 106324178655420 is 24556871423601.

106324178655420 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 2 + 4 + 1 + 7 + 86 + 554 + 2 + 0 = 666.

It is a super-2 number, since 2×106324178655420² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2135727849 + ... + 2135777631.

It is an arithmetic number, because the mean of its divisors is an integer number (1241776351088).

Almost surely, 2^{106324178655420} is an apocalyptic number.

106324178655420 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 106324178655420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178815794556672).

106324178655420 is an abundant number, since it is smaller than the sum of its proper divisors (251307410457924).

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

106324178655420 is a wasteful number, since it uses less digits than its factorization.

106324178655420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67553 (or 67548 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 106324178655420 in words is "one hundred six trillion, three hundred twenty-four billion, one hundred seventy-eight million, six hundred fifty-five thousand, four hundred twenty".