106441434416 has 20 divisors (see below), whose sum is σ = 218361472632. Its totient is φ = 50090086656.

The previous prime is 106441434409. The next prime is 106441434457. The reversal of 106441434416 is 614434144601.

It is a super-2 number, since 2×106441434416² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106441434416.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 195664130 + ... + 195664673.

Almost surely, 2^106441434416 is an apocalyptic number.

106441434416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106441434416 is an abundant number, since it is smaller than the sum of its proper divisors (111920038216).

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

106441434416 is a wasteful number, since it uses less digits than its factorization.

106441434416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391328828 (or 391328822 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The spelling of 106441434416 in words is "one hundred six billion, four hundred forty-one million, four hundred thirty-four thousand, four hundred sixteen".