106994976192 has 252 divisors, whose sum is σ = 344395364040. Its totient is φ = 32920722432.

The previous prime is 106994976191. The next prime is 106994976251. The reversal of 106994976192 is 291679499601.

106994976192 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 9 + 4 + 9 + 7 + 619 + 2 = 666.

It is a super-2 number, since 2×106994976192² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106994976191) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2607934 + ... + 2648642.

It is an arithmetic number, because the mean of its divisors is an integer number (1366648270).

Almost surely, 2^106994976192 is an apocalyptic number.

106994976192 is a gapful number since it is divisible by the number (12) 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 106994976192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172197682020).

106994976192 is an abundant number, since it is smaller than the sum of its proper divisors (237400387848).

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

106994976192 is an equidigital number, since it uses as much as digits as its factorization.

106994976192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40762 (or 40727 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 63.

The spelling of 106994976192 in words is "one hundred six billion, nine hundred ninety-four million, nine hundred seventy-six thousand, one hundred ninety-two".