106978752384 has 384 divisors, whose sum is σ = 345701990400. Its totient is φ = 28691324928.

The previous prime is 106978752329. The next prime is 106978752401. The reversal of 106978752384 is 483257879601.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×106978752384² (a number of 23 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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83641857 + ... + 83643135.

It is an arithmetic number, because the mean of its divisors is an integer number (900265600).

It is a 2-persistent number, because it is pandigital, and so is 2⋅106978752384 = 213957504768, but 3⋅106978752384 = 320936257152 is not.

Almost surely, 2^106978752384 is an apocalyptic number.

106978752384 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 106978752384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172850995200).

106978752384 is an abundant number, since it is smaller than the sum of its proper divisors (238723238016).

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

106978752384 is a wasteful number, since it uses less digits than its factorization.

106978752384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 60.

The spelling of 106978752384 in words is "one hundred six billion, nine hundred seventy-eight million, seven hundred fifty-two thousand, three hundred eighty-four".