101966 has 8 divisors (see below), whose sum is σ = 162000. Its totient is φ = 47968.

The previous prime is 101963. The next prime is 101977. The reversal of 101966 is 669101.

101966 = T₃₆ + T₃₇ + ... + T₈₆.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101963) 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, 1466 + ... + 1533.

It is an arithmetic number, because the mean of its divisors is an integer number (20250).

2¹⁰¹⁹⁶⁶ is an apocalyptic number.

101966 is a deficient number, since it is larger than the sum of its proper divisors (60034).

101966 is a wasteful number, since it uses less digits than its factorization.

101966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018.

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 101966 is about 319.3211549522. The cubic root of 101966 is about 46.7180952303.

The spelling of 101966 in words is "one hundred one thousand, nine hundred sixty-six".