106126744441 has 9 divisors (see below), whose sum is σ = 112742598031. Its totient is φ = 99878782432.

The previous prime is 106126744429. The next prime is 106126744469. The reversal of 106126744441 is 144447621601.

It is a happy number.

The square root of 106126744441 is 325771.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 82624628025 + 23502116416 = 287445^2 + 153304^2 .

It is not a de Polignac number, because 106126744441 - 2¹³ = 106126736249 is a prime.

It is a super-2 number, since 2×106126744441² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106126744394 and 106126744403.

It is not an unprimeable number, because it can be changed into a prime (106126744411) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5528526 + ... + 5547688.

Almost surely, 2^106126744441 is an apocalyptic number.

106126744441 is the 325771-st square number.

106126744441 is the 162886-th centered octagonal number.

It is an amenable number.

106126744441 is a deficient number, since it is larger than the sum of its proper divisors (6615853590).

106126744441 is an frugal number, since it uses more digits than its factorization.

106126744441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38360 (or 19180 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 106126744441 in words is "one hundred six billion, one hundred twenty-six million, seven hundred forty-four thousand, four hundred forty-one".