101200560 has 80 divisors (see below), whose sum is σ = 318193920. Its totient is φ = 26602240.

The previous prime is 101200549. The next prime is 101200571. The reversal of 101200560 is 65002101.

It is an interprime number because it is at equal distance from previous prime (101200549) and next prime (101200571).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14071 + ... + 20009.

It is an arithmetic number, because the mean of its divisors is an integer number (3977424).

Almost surely, 2^101200560 is an apocalyptic number.

101200560 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 101200560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159096960).

101200560 is an abundant number, since it is smaller than the sum of its proper divisors (216993360).

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

101200560 is a wasteful number, since it uses less digits than its factorization.

101200560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6026 (or 6020 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 101200560 is about 10059.8489054260. The cubic root of 101200560 is about 466.0090010357.

Adding to 101200560 its reverse (65002101), we get a palindrome (166202661).

It can be divided in two parts, 101 and 200560, that added together give a triangular number (200661 = T₆₃₃).

The spelling of 101200560 in words is "one hundred one million, two hundred thousand, five hundred sixty".