10115461 has 8 divisors (see below), whose sum is σ = 10539000. Its totient is φ = 9696960.

The previous prime is 10115419. The next prime is 10115471. The reversal of 10115461 is 16451101.

It can be written as a sum of positive squares in 4 ways, for example, as 690561 + 9424900 = 831^2 + 3070^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10115461 - 2⁷ = 10115333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10115471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3151 + ... + 5491.

It is an arithmetic number, because the mean of its divisors is an integer number (1317375).

Almost surely, 2^10115461 is an apocalyptic number.

It is an amenable number.

10115461 is a deficient number, since it is larger than the sum of its proper divisors (423539).

10115461 is a wasteful number, since it uses less digits than its factorization.

10115461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2519.

The product of its (nonzero) digits is 120, while the sum is 19.

The square root of 10115461 is about 3180.4812528924. The cubic root of 10115461 is about 216.2694753418.

Adding to 10115461 its reverse (16451101), we get a palindrome (26566562).

The spelling of 10115461 in words is "ten million, one hundred fifteen thousand, four hundred sixty-one".