101101560 has 128 divisors (see below), whose sum is σ = 361774080. Its totient is φ = 22099968.

The previous prime is 101101543. The next prime is 101101579. The reversal of 101101560 is 65101101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16704 + ... + 21936.

It is an arithmetic number, because the mean of its divisors is an integer number (2826360).

Almost surely, 2^101101560 is an apocalyptic number.

101101560 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 101101560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180887040).

101101560 is an abundant number, since it is smaller than the sum of its proper divisors (260672520).

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

101101560 is a wasteful number, since it uses less digits than its factorization.

101101560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5277 (or 5273 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

The square root of 101101560 is about 10054.9271504074. The cubic root of 101101560 is about 465.8569928413.

Adding to 101101560 its reverse (65101101), we get a palindrome (166202661).

The spelling of 101101560 in words is "one hundred one million, one hundred one thousand, five hundred sixty".