106446240121 has 9 divisors (see below), whose sum is σ = 115268864781. Its totient is φ = 98254152672.

The previous prime is 106446240113. The next prime is 106446240157. The reversal of 106446240121 is 121042644601.

The square root of 106446240121 is 326261.

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

It can be written as a sum of positive squares in 4 ways, for example, as 34525727721 + 71920512400 = 185811^2 + 268180^2 .

It is not a de Polignac number, because 106446240121 - 2³ = 106446240113 is a prime.

It is a super-2 number, since 2×106446240121² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106446240161) 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, 4228845 + ... + 4253941.

Almost surely, 2^106446240121 is an apocalyptic number.

106446240121 is the 326261-st square number.

106446240121 is the 163131-st centered octagonal number.

It is an amenable number.

106446240121 is a deficient number, since it is larger than the sum of its proper divisors (8822624660).

106446240121 is an frugal number, since it uses more digits than its factorization.

106446240121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50220 (or 25110 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

Multiplying 106446240121 by its product of nonzero digits (9216), we get a square (981008548955136 = 31321056²).

Adding to 106446240121 its reverse (121042644601), we get a palindrome (227488884722).

The spelling of 106446240121 in words is "one hundred six billion, four hundred forty-six million, two hundred forty thousand, one hundred twenty-one".