106001685241 has 9 divisors (see below), whose sum is σ = 108057043759. Its totient is φ = 103984723336.

The previous prime is 106001685227. The next prime is 106001685271. The reversal of 106001685241 is 142586100601.

The square root of 106001685241 is 325579.

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., 76416309225 + 29585376016 = 276435^2 + 172004^2 .

It is not a de Polignac number, because 106001685241 - 2²⁵ = 105968130809 is a prime.

It is a super-2 number, since 2×106001685241² (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 = 106001685197 and 106001685206.

It is not an unprimeable number, because it can be changed into a prime (106001685211) 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, 17252616 + ... + 17258758.

Almost surely, 2^106001685241 is an apocalyptic number.

106001685241 is the 325579-th square number.

106001685241 is the 162790-th centered octagonal number.

It is an amenable number.

106001685241 is a deficient number, since it is larger than the sum of its proper divisors (2055358518).

106001685241 is an frugal number, since it uses more digits than its factorization.

106001685241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12392 (or 6196 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

Adding to 106001685241 its reverse (142586100601), we get a palindrome (248587785842).

The spelling of 106001685241 in words is "one hundred six billion, one million, six hundred eighty-five thousand, two hundred forty-one".