106055550144 has 168 divisors, whose sum is σ = 316953960960. Its totient is φ = 33863380992.

The previous prime is 106055550143. The next prime is 106055550151. The reversal of 106055550144 is 441055550601.

106055550144 is a `hidden beast` number, since 1 + 0 + 60 + 5 + 5 + 550 + 1 + 44 = 666.

It is a super-2 number, since 2×106055550144² (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 a junction number, because it is equal to n+sod(n) for n = 106055550099 and 106055550108.

It is not an unprimeable number, because it can be changed into a prime (106055550143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2096412 + ... + 2146404.

It is an arithmetic number, because the mean of its divisors is an integer number (1886630720).

Almost surely, 2^106055550144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106055550144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158476980480).

106055550144 is an abundant number, since it is smaller than the sum of its proper divisors (210898410816).

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

106055550144 is a wasteful number, since it uses less digits than its factorization.

106055550144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50167 (or 50154 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 106055550144 in words is "one hundred six billion, fifty-five million, five hundred fifty thousand, one hundred forty-four".