106612061121 has 24 divisors (see below), whose sum is σ = 164577632544. Its totient is φ = 66268656000.

The previous prime is 106612061077. The next prime is 106612061123. The reversal of 106612061121 is 121160216601.

106612061121 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 1 + 20 + 611 + 21 = 666.

It is not a de Polignac number, because 106612061121 - 2⁶ = 106612061057 is a prime.

It is a super-2 number, since 2×106612061121² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106612061123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3239755 + ... + 3272496.

It is an arithmetic number, because the mean of its divisors is an integer number (6857401356).

Almost surely, 2^106612061121 is an apocalyptic number.

It is an amenable number.

106612061121 is a deficient number, since it is larger than the sum of its proper divisors (57965571423).

106612061121 is a wasteful number, since it uses less digits than its factorization.

106612061121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6512381 (or 6512378 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 106612061121 its reverse (121160216601), we get a palindrome (227772277722).

The spelling of 106612061121 in words is "one hundred six billion, six hundred twelve million, sixty-one thousand, one hundred twenty-one".