106056411340 has 96 divisors (see below), whose sum is σ = 250543093248. Its totient is φ = 37375680000.

The previous prime is 106056411317. The next prime is 106056411343. The reversal of 106056411340 is 43114650601.

106056411340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106056411340² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106056411343) 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 31 ways as a sum of consecutive naturals, for example, 1323087 + ... + 1400953.

It is an arithmetic number, because the mean of its divisors is an integer number (2609823888).

Almost surely, 2^106056411340 is an apocalyptic number.

106056411340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106056411340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125271546624).

106056411340 is an abundant number, since it is smaller than the sum of its proper divisors (144486681908).

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

106056411340 is a wasteful number, since it uses less digits than its factorization.

106056411340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78079 (or 78077 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 106056411340 in words is "one hundred six billion, fifty-six million, four hundred eleven thousand, three hundred forty".