106931788416 has 384 divisors, whose sum is σ = 350547724800. Its totient is φ = 32295656448.

The previous prime is 106931788367. The next prime is 106931788423. The reversal of 106931788416 is 614887139601.

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

It is a super-2 number, since 2×106931788416² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 13588515 + ... + 13596381.

It is an arithmetic number, because the mean of its divisors is an integer number (912884700).

Almost surely, 2^106931788416 is an apocalyptic number.

106931788416 is a gapful number since it is divisible by the number (16) 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 106931788416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175273862400).

106931788416 is an abundant number, since it is smaller than the sum of its proper divisors (243615936384).

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

106931788416 is an equidigital number, since it uses as much as digits as its factorization.

106931788416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7938 (or 7914 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 106931788416 in words is "one hundred six billion, nine hundred thirty-one million, seven hundred eighty-eight thousand, four hundred sixteen".