106454144160 has 1152 divisors, whose sum is σ = 487653143040. Its totient is φ = 21116878848.

The previous prime is 106454144117. The next prime is 106454144179. The reversal of 106454144160 is 61441454601.

106454144160 is a `hidden beast` number, since 1 + 0 + 6 + 454 + 1 + 44 + 160 = 666.

106454144160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106454144160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 113611212 + ... + 113612148.

It is an arithmetic number, because the mean of its divisors is an integer number (423310020).

Almost surely, 2^106454144160 is an apocalyptic number.

106454144160 is a gapful number since it is divisible by the number (10) 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 106454144160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243826571520).

106454144160 is an abundant number, since it is smaller than the sum of its proper divisors (381198998880).

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

106454144160 is a wasteful number, since it uses less digits than its factorization.

106454144160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 106454144160 its reverse (61441454601), we get a palindrome (167895598761).

The spelling of 106454144160 in words is "one hundred six billion, four hundred fifty-four million, one hundred forty-four thousand, one hundred sixty".