106131106420344 has 256 divisors, whose sum is σ = 298280968128000. Its totient is φ = 34962140160000.

The previous prime is 106131106420321. The next prime is 106131106420373. The reversal of 106131106420344 is 443024601131601.

106131106420344 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 3 + 1 + 1 + 0 + 642 + 0 + 3 + 4 + 4 = 666.

It is a super-2 number, since 2×106131106420344² (a number of 29 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 = 106131106420299 and 106131106420308.

It is a congruent number.

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, 21523239559 + ... + 21523244489.

It is an arithmetic number, because the mean of its divisors is an integer number (1165160031750).

Almost surely, 2^{106131106420344} 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 106131106420344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149140484064000).

106131106420344 is an abundant number, since it is smaller than the sum of its proper divisors (192149861707656).

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

106131106420344 is a wasteful number, since it uses less digits than its factorization.

106131106420344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7227 (or 7217 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 106131106420344 its reverse (443024601131601), we get a palindrome (549155707551945).

The spelling of 106131106420344 in words is "one hundred six trillion, one hundred thirty-one billion, one hundred six million, four hundred twenty thousand, three hundred forty-four".