106112411001 has 27 divisors (see below), whose sum is σ = 160261235407. Its totient is φ = 67651552320.

The previous prime is 106112410991. The next prime is 106112411017. The reversal of 106112411001 is 100114211601.

The square root of 106112411001 is 325749.

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

106112411001 is a `hidden beast` number, since 1 + 0 + 611 + 2 + 41 + 10 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57359771001 + 48752640000 = 239499^2 + 220800^2 .

It is not a de Polignac number, because 106112411001 - 2³³ = 97522476409 is a prime.

It is a super-2 number, since 2×106112411001² (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 (106112411051) 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, 22474321 + ... + 22479041.

Almost surely, 2^106112411001 is an apocalyptic number.

106112411001 is the 325749-th square number.

106112411001 is the 162875-th centered octagonal number.

It is an amenable number.

106112411001 is a deficient number, since it is larger than the sum of its proper divisors (54148824406).

106112411001 is an frugal number, since it uses more digits than its factorization.

106112411001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9494 (or 4747 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 106112411001 its reverse (100114211601), we get a palindrome (206226622602).

The spelling of 106112411001 in words is "one hundred six billion, one hundred twelve million, four hundred eleven thousand, one".