106262308441 has 9 divisors (see below), whose sum is σ = 111091120959. Its totient is φ = 101635036536.

The previous prime is 106262308433. The next prime is 106262308469. The reversal of 106262308441 is 144803262601.

The square root of 106262308441 is 325979.

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., 92242801225 + 14019507216 = 303715^2 + 118404^2 .

It is not a de Polignac number, because 106262308441 - 2³ = 106262308433 is a prime.

It is a super-2 number, since 2×106262308441² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106262308441.

It is not an unprimeable number, because it can be changed into a prime (106262308241) 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, 7490431 + ... + 7504603.

Almost surely, 2^106262308441 is an apocalyptic number.

106262308441 is the 325979-th square number.

106262308441 is the 162990-th centered octagonal number.

It is an amenable number.

106262308441 is a deficient number, since it is larger than the sum of its proper divisors (4828812518).

106262308441 is an frugal number, since it uses more digits than its factorization.

106262308441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28392 (or 14196 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 106262308441 in words is "one hundred six billion, two hundred sixty-two million, three hundred eight thousand, four hundred forty-one".