106771222104344 has 64 divisors (see below), whose sum is σ = 228933454464000. Its totient is φ = 45731506224384.

The previous prime is 106771222104341. The next prime is 106771222104353. The reversal of 106771222104344 is 443401222177601.

It is a super-2 number, since 2×106771222104344² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106771222104295 and 106771222104304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106771222104341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 809733332 + ... + 809865180.

It is an arithmetic number, because the mean of its divisors is an integer number (3577085226000).

Almost surely, 2^{106771222104344} is an apocalyptic number.

106771222104344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106771222104344 is an abundant number, since it is smaller than the sum of its proper divisors (122162232359656).

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

106771222104344 is a wasteful number, since it uses less digits than its factorization.

106771222104344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140472 (or 140468 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 44.

The spelling of 106771222104344 in words is "one hundred six trillion, seven hundred seventy-one billion, two hundred twenty-two million, one hundred four thousand, three hundred forty-four".