106544229047424 has 1536 divisors, whose sum is σ = 395662700160000. Its totient is φ = 28048243507200.

The previous prime is 106544229047407. The next prime is 106544229047441. The reversal of 106544229047424 is 424740922445601.

106544229047424 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 44 + 22 + 90 + 474 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (106544229047407) and next prime (106544229047441).

It is a super-2 number, since 2×106544229047424² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49997290839 + ... + 49997292969.

It is an arithmetic number, because the mean of its divisors is an integer number (257592903750).

Almost surely, 2^{106544229047424} is an apocalyptic number.

106544229047424 is a gapful number since it is divisible by the number (14) 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 106544229047424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197831350080000).

106544229047424 is an abundant number, since it is smaller than the sum of its proper divisors (289118471112576).

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

106544229047424 is a wasteful number, since it uses less digits than its factorization.

106544229047424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2607 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 106544229047424 in words is "one hundred six trillion, five hundred forty-four billion, two hundred twenty-nine million, forty-seven thousand, four hundred twenty-four".