106425360441 has 27 divisors (see below), whose sum is σ = 158046330351. Its totient is φ = 69009177744.

The previous prime is 106425360439. The next prime is 106425360451. The reversal of 106425360441 is 144063524601.

The square root of 106425360441 is 326229.

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

106425360441 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 2 + 5 + 3 + 604 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 95230874025 + 11194486416 = 308595^2 + 105804^2 .

It is not a de Polignac number, because 106425360441 - 2¹ = 106425360439 is a prime.

It is a super-2 number, since 2×106425360441² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 106425360396 and 106425360405.

It is not an unprimeable number, because it can be changed into a prime (106425360451) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36209950 + ... + 36212888.

Almost surely, 2^106425360441 is an apocalyptic number.

106425360441 is the 326229-th square number.

106425360441 is the 163115-th centered octagonal number.

It is an amenable number.

106425360441 is a deficient number, since it is larger than the sum of its proper divisors (51620969910).

106425360441 is an frugal number, since it uses more digits than its factorization.

106425360441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5958 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Multiplying 106425360441 by its sum of digits (36), we get a square (3831312975876 = 1957374²).

The spelling of 106425360441 in words is "one hundred six billion, four hundred twenty-five million, three hundred sixty thousand, four hundred forty-one".