101559720 has 128 divisors (see below), whose sum is σ = 328458240. Its totient is φ = 25048320.

The previous prime is 101559707. The next prime is 101559721. The reversal of 101559720 is 27955101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (101559721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84967 + ... + 86153.

It is an arithmetic number, because the mean of its divisors is an integer number (2566080).

Almost surely, 2^101559720 is an apocalyptic number.

101559720 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 101559720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164229120).

101559720 is an abundant number, since it is smaller than the sum of its proper divisors (226898520).

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

101559720 is a wasteful number, since it uses less digits than its factorization.

101559720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 30.

The square root of 101559720 is about 10077.6842578045. The cubic root of 101559720 is about 466.5596375865.

The spelling of 101559720 in words is "one hundred one million, five hundred fifty-nine thousand, seven hundred twenty".