106962 has 8 divisors (see below), whose sum is σ = 213936. Its totient is φ = 35652.

The previous prime is 106961. The next prime is 106963. The reversal of 106962 is 269601.

106962 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (106961) and next prime (106963).

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

106962 is an admirable number.

It is a super-2 number, since 2×106962² = 22881738888, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106962.

It is not an unprimeable number, because it can be changed into a prime (106961) 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, 8908 + ... + 8919.

It is an arithmetic number, because the mean of its divisors is an integer number (26742).

2¹⁰⁶⁹⁶² is an apocalyptic number.

106962 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106962 is a wasteful number, since it uses less digits than its factorization.

106962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17832.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 106962 is about 327.0504548231. The cubic root of 106962 is about 47.4689732744.

The spelling of 106962 in words is "one hundred six thousand, nine hundred sixty-two".