101960 has 16 divisors (see below), whose sum is σ = 229500. Its totient is φ = 40768.

The previous prime is 101957. The next prime is 101963. The reversal of 101960 is 69101.

101960 is nontrivially palindromic in base 6.

It is an interprime number because it is at equal distance from previous prime (101957) and next prime (101963).

It can be written as a sum of positive squares in 2 ways, for example, as 98596 + 3364 = 314^2 + 58^2 .

It is not an unprimeable number, because it can be changed into a prime (101963) 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, 1235 + ... + 1314.

2¹⁰¹⁹⁶⁰ is an apocalyptic number.

101960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101960 is an abundant number, since it is smaller than the sum of its proper divisors (127540).

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

101960 is a wasteful number, since it uses less digits than its factorization.

101960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2560 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 101960 is about 319.3117598837. The cubic root of 101960 is about 46.7171788657.

It can be divided in two parts, 10 and 1960, that multiplied together give a square (19600 = 140²).

The spelling of 101960 in words is "one hundred one thousand, nine hundred sixty".