1032101461 has 4 divisors (see below), whose sum is σ = 1032169612. Its totient is φ = 1032033312.

The previous prime is 1032101453. The next prime is 1032101513. The reversal of 1032101461 is 1641012301.

1032101461 is a nontrivial binomial coefficient, being equal to C(45434, 2).

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 1641012301 = 61 ⋅26901841.

It can be written as a sum of positive squares in 2 ways, for example, as 783440100 + 248661361 = 27990^2 + 15769^2 .

It is a 3-Lehmer number, since φ(1032101461) divides (1032101461-1)³.

It is a cyclic number.

It is not a de Polignac number, because 1032101461 - 2³ = 1032101453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032101401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1 + ... + 45433.

It is an arithmetic number, because the mean of its divisors is an integer number (258042403).

It is a Poulet number, since it divides 2^1032101460-1.

Almost surely, 2^1032101461 is an apocalyptic number.

1032101461 is the 45433-rd triangular number and also the 22717-th hexagonal number.

1032101461 is the 15145-th centered nonagonal number.

It is an amenable number.

1032101461 is a deficient number, since it is larger than the sum of its proper divisors (68151).

1032101461 is an equidigital number, since it uses as much as digits as its factorization.

1032101461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68150.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 1032101461 is about 32126.3359410936. The cubic root of 1032101461 is about 1010.5879858977.

Adding to 1032101461 its reverse (1641012301), we get a palindrome (2673113762).

The spelling of 1032101461 in words is "one billion, thirty-two million, one hundred one thousand, four hundred sixty-one".