101160720 has 120 divisors (see below), whose sum is σ = 343114200. Its totient is φ = 26707968.

The previous prime is 101160713. The next prime is 101160737. The reversal of 101160720 is 27061101.

It can be written as a sum of positive squares in 4 ways, for example, as 31404816 + 69755904 = 5604^2 + 8352^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101160693 and 101160702.

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 23 ways as a sum of consecutive naturals, for example, 77836 + ... + 79124.

It is an arithmetic number, because the mean of its divisors is an integer number (2859285).

Almost surely, 2^101160720 is an apocalyptic number.

101160720 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 101160720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171557100).

101160720 is an abundant number, since it is smaller than the sum of its proper divisors (241953480).

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

101160720 is a wasteful number, since it uses less digits than its factorization.

101160720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 101160720 is about 10057.8685614796. The cubic root of 101160720 is about 465.9478411784.

The spelling of 101160720 in words is "one hundred one million, one hundred sixty thousand, seven hundred twenty".