106341341544 has 192 divisors, whose sum is σ = 314945925840. Its totient is φ = 32278487040.

The previous prime is 106341341543. The next prime is 106341341563. The reversal of 106341341544 is 445143143601.

106341341544 is a `hidden beast` number, since 1 + 0 + 63 + 4 + 13 + 41 + 544 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 20865802500 + 85475539044 = 144450^2 + 292362^2 .

It is a super-2 number, since 2×106341341544² (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 = 106341341499 and 106341341508.

It is not an unprimeable number, because it can be changed into a prime (106341341543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8190642 + ... + 8203614.

Almost surely, 2^106341341544 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 106341341544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157472962920).

106341341544 is an abundant number, since it is smaller than the sum of its proper divisors (208604584296).

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

106341341544 is a wasteful number, since it uses less digits than its factorization.

106341341544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13220 (or 13213 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 106341341544 in words is "one hundred six billion, three hundred forty-one million, three hundred forty-one thousand, five hundred forty-four".