106405205544 has 432 divisors, whose sum is σ = 340985080800. Its totient is φ = 29867460480.

The previous prime is 106405205537. The next prime is 106405205549. The reversal of 106405205544 is 445502504601.

106405205544 is a `hidden beast` number, since 1 + 0 + 6 + 40 + 520 + 55 + 44 = 666.

It is a super-2 number, since 2×106405205544² (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 = 106405205499 and 106405205508.

It is not an unprimeable number, because it can be changed into a prime (106405205549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1033060197 + ... + 1033060299.

Almost surely, 2^106405205544 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 106405205544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170492540400).

106405205544 is an abundant number, since it is smaller than the sum of its proper divisors (234579875256).

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

106405205544 is a wasteful number, since it uses less digits than its factorization.

106405205544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 106405205544 in words is "one hundred six billion, four hundred five million, two hundred five thousand, five hundred forty-four".