101106461 has 2 divisors, whose sum is σ = 101106462. Its totient is φ = 101106460.

The previous prime is 101106443. The next prime is 101106479. The reversal of 101106461 is 164601101.

It is a balanced prime because it is at equal distance from previous prime (101106443) and next prime (101106479).

It can be written as a sum of positive squares in only one way, i.e., 71740900 + 29365561 = 8470^2 + 5419^2 .

It is a cyclic number.

It is not a de Polignac number, because 101106461 - 2¹⁰ = 101105437 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101102461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50553230 + 50553231.

It is an arithmetic number, because the mean of its divisors is an integer number (50553231).

Almost surely, 2^101106461 is an apocalyptic number.

It is an amenable number.

101106461 is a deficient number, since it is larger than the sum of its proper divisors (1).

101106461 is an equidigital number, since it uses as much as digits as its factorization.

101106461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 101106461 is about 10055.1708588169. The cubic root of 101106461 is about 465.8645203488.

Adding to 101106461 its reverse (164601101), we get a palindrome (265707562).

The spelling of 101106461 in words is "one hundred one million, one hundred six thousand, four hundred sixty-one".