102961 has 4 divisors (see below), whose sum is σ = 108400. Its totient is φ = 97524.

The previous prime is 102953. The next prime is 102967. The reversal of 102961 is 169201.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 102961 - 2³ = 102953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19), and also a Moran number because the ratio is a prime number: 5419 = 102961 / (1 + 0 + 2 + 9 + 6 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2691 + ... + 2728.

It is an arithmetic number, because the mean of its divisors is an integer number (27100).

2¹⁰²⁹⁶¹ is an apocalyptic number.

102961 is the 144-th centered decagonal number.

It is an amenable number.

102961 is a deficient number, since it is larger than the sum of its proper divisors (5439).

102961 is an equidigital number, since it uses as much as digits as its factorization.

102961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5438.

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 102961 is about 320.8753652121. The cubic root of 102961 is about 46.8695644068.

The spelling of 102961 in words is "one hundred two thousand, nine hundred sixty-one".