106021548416 has 64 divisors (see below), whose sum is σ = 241939104000. Its totient is φ = 45334135296.

The previous prime is 106021548379. The next prime is 106021548449. The reversal of 106021548416 is 614845120601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106021548416² (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 106021548416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258575 + ... + 528113.

It is an arithmetic number, because the mean of its divisors is an integer number (3780298500).

Almost surely, 2^106021548416 is an apocalyptic number.

106021548416 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 106021548416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120969552000).

106021548416 is an abundant number, since it is smaller than the sum of its proper divisors (135917555584).

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

106021548416 is an equidigital number, since it uses as much as digits as its factorization.

106021548416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269999 (or 269987 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The spelling of 106021548416 in words is "one hundred six billion, twenty-one million, five hundred forty-eight thousand, four hundred sixteen".