106780555044 has 192 divisors, whose sum is σ = 296135884800. Its totient is φ = 33199600896.

The previous prime is 106780555033. The next prime is 106780555051. The reversal of 106780555044 is 440555087601.

106780555044 is a `hidden beast` number, since 1 + 0 + 67 + 80 + 5 + 5 + 504 + 4 = 666.

It is a super-2 number, since 2×106780555044² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18609744 + ... + 18615480.

It is an arithmetic number, because the mean of its divisors is an integer number (1542374400).

Almost surely, 2^106780555044 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 106780555044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148067942400).

106780555044 is an abundant number, since it is smaller than the sum of its proper divisors (189355329756).

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

106780555044 is a wasteful number, since it uses less digits than its factorization.

106780555044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5959 (or 5951 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 106780555044 in words is "one hundred six billion, seven hundred eighty million, five hundred fifty-five thousand, forty-four".