106123144064 has 64 divisors (see below), whose sum is σ = 242337320160. Its totient is φ = 45346258944.

The previous prime is 106123144033. The next prime is 106123144067. The reversal of 106123144064 is 460441321601.

106123144064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×106123144064² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 106123144064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106123144067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126224 + ... + 477680.

Almost surely, 2^106123144064 is an apocalyptic number.

106123144064 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 106123144064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121168660080).

106123144064 is an abundant number, since it is smaller than the sum of its proper divisors (136214176096).

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

106123144064 is an equidigital number, since it uses as much as digits as its factorization.

106123144064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351815 (or 351803 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 106123144064 its reverse (460441321601), we get a palindrome (566564465665).

The spelling of 106123144064 in words is "one hundred six billion, one hundred twenty-three million, one hundred forty-four thousand, sixty-four".