101865060 has 144 divisors (see below), whose sum is σ = 348566400. Its totient is φ = 24678720.

The previous prime is 101865047. The next prime is 101865089. The reversal of 101865060 is 60568101.

101865060 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 650 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64561 + ... + 66119.

It is an arithmetic number, because the mean of its divisors is an integer number (2420600).

Almost surely, 2^101865060 is an apocalyptic number.

101865060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101865060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174283200).

101865060 is an abundant number, since it is smaller than the sum of its proper divisors (246701340).

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

101865060 is a wasteful number, since it uses less digits than its factorization.

101865060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 101865060 is about 10092.8222019413. The cubic root of 101865060 is about 467.0267413734.

The spelling of 101865060 in words is "one hundred one million, eight hundred sixty-five thousand, sixty".