106441919232 has 144 divisors (see below), whose sum is σ = 319701876480. Its totient is φ = 31142809600.

The previous prime is 106441919219. The next prime is 106441919237. The reversal of 106441919232 is 232919144601.

It is a super-2 number, since 2×106441919232² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106441919237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27757 + ... + 462227.

It is an arithmetic number, because the mean of its divisors is an integer number (2220151920).

Almost surely, 2^106441919232 is an apocalyptic number.

106441919232 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 106441919232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159850938240).

106441919232 is an abundant number, since it is smaller than the sum of its proper divisors (213259957248).

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

106441919232 is a wasteful number, since it uses less digits than its factorization.

106441919232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434530 (or 434516 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 106441919232 in words is "one hundred six billion, four hundred forty-one million, nine hundred nineteen thousand, two hundred thirty-two".