106344222840 has 640 divisors, whose sum is σ = 400884422400. Its totient is φ = 25127055360.

The previous prime is 106344222799. The next prime is 106344222871. The reversal of 106344222840 is 48222443601.

106344222840 is a `hidden beast` number, since 10 + 6 + 344 + 22 + 284 + 0 = 666.

It is a super-2 number, since 2×106344222840² (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 = 106344222795 and 106344222804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 321281475 + ... + 321281805.

It is an arithmetic number, because the mean of its divisors is an integer number (626381910).

Almost surely, 2^106344222840 is an apocalyptic number.

106344222840 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 106344222840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200442211200).

106344222840 is an abundant number, since it is smaller than the sum of its proper divisors (294540199560).

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

106344222840 is a wasteful number, since it uses less digits than its factorization.

106344222840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 106344222840 in words is "one hundred six billion, three hundred forty-four million, two hundred twenty-two thousand, eight hundred forty".