61106121 has 12 divisors (see below), whose sum is σ = 88354500. Its totient is φ = 40695840.

The previous prime is 61106107. The next prime is 61106141. The reversal of 61106121 is 12160116.

It can be written as a sum of positive squares in 2 ways, for example, as 25644096 + 35462025 = 5064^2 + 5955^2 .

It is not a de Polignac number, because 61106121 - 2¹³ = 61097929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 61106094 and 61106103.

It is not an unprimeable number, because it can be changed into a prime (61106141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7755 + ... + 13503.

It is an arithmetic number, because the mean of its divisors is an integer number (7362875).

Almost surely, 2^61106121 is an apocalyptic number.

It is an amenable number.

61106121 is a deficient number, since it is larger than the sum of its proper divisors (27248379).

61106121 is a wasteful number, since it uses less digits than its factorization.

61106121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6936 (or 6933 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 61106121 is about 7817.0404246108. The cubic root of 61106121 is about 393.8778620275.

Adding to 61106121 its reverse (12160116), we get a palindrome (73266237).

The spelling of 61106121 in words is "sixty-one million, one hundred six thousand, one hundred twenty-one".