101286160 has 20 divisors (see below), whose sum is σ = 235490508. Its totient is φ = 40514432.

The previous prime is 101286151. The next prime is 101286167. The reversal of 101286160 is 61682101.

It can be written as a sum of positive squares in 2 ways, for example, as 20358144 + 80928016 = 4512^2 + 8996^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (101286167) 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, 632959 + ... + 633118.

Almost surely, 2^101286160 is an apocalyptic number.

101286160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101286160 is an abundant number, since it is smaller than the sum of its proper divisors (134204348).

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

101286160 is a wasteful number, since it uses less digits than its factorization.

101286160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266090 (or 1266084 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 101286160 is about 10064.1025431978. The cubic root of 101286160 is about 466.1403544879.

The spelling of 101286160 in words is "one hundred one million, two hundred eighty-six thousand, one hundred sixty".