106144000 has 144 divisors (see below), whose sum is σ = 275498496. Its totient is φ = 40704000.

The previous prime is 106143997. The next prime is 106144007. The reversal of 106144000 is 441601.

It is a happy number.

It is a super-2 number, since 2×106144000² = 22533097472000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (106144007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 991947 + ... + 992053.

It is an arithmetic number, because the mean of its divisors is an integer number (1913184).

Almost surely, 2^106144000 is an apocalyptic number.

106144000 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 106144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137749248).

106144000 is an abundant number, since it is smaller than the sum of its proper divisors (169354496).

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

106144000 is an equidigital number, since it uses as much as digits as its factorization.

106144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 106144000 is about 10302.6210257390. The cubic root of 106144000 is about 473.4765596235.

Adding to 106144000 its reverse (441601), we get a palindrome (106585601).

The spelling of 106144000 in words is "one hundred six million, one hundred forty-four thousand".