101962 has 8 divisors (see below), whose sum is σ = 174816. Its totient is φ = 43692.

The previous prime is 101957. The next prime is 101963. The reversal of 101962 is 269101.

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

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, 3628 + ... + 3655.

It is an arithmetic number, because the mean of its divisors is an integer number (21852).

2¹⁰¹⁹⁶² is an apocalyptic number.

101962 is a deficient number, since it is larger than the sum of its proper divisors (72854).

101962 is an equidigital number, since it uses as much as digits as its factorization.

101962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7292.

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

The square root of 101962 is about 319.3148916039. The cubic root of 101962 is about 46.7174843246.

It can be divided in two parts, 1019 and 62, that added together give a triangular number (1081 = T₄₆).

The spelling of 101962 in words is "one hundred one thousand, nine hundred sixty-two".