106841419152 has 320 divisors, whose sum is σ = 317499678720. Its totient is φ = 30723379200.

The previous prime is 106841419147. The next prime is 106841419199. The reversal of 106841419152 is 251914148601.

It is a super-2 number, since 2×106841419152² (a number of 23 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 84861499 + ... + 84862757.

It is an arithmetic number, because the mean of its divisors is an integer number (992186496).

Almost surely, 2^106841419152 is an apocalyptic number.

106841419152 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 106841419152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158749839360).

106841419152 is an abundant number, since it is smaller than the sum of its proper divisors (210658259568).

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

106841419152 is a wasteful number, since it uses less digits than its factorization.

106841419152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 106841419152 in words is "one hundred six billion, eight hundred forty-one million, four hundred nineteen thousand, one hundred fifty-two".