101059560 has 288 divisors, whose sum is σ = 405741960. Its totient is φ = 21676032.

The previous prime is 101059559. The next prime is 101059561. The reversal of 101059560 is 65950101.

101059560 is a `hidden beast` number, since 1 + 0 + 10 + 595 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (101059559) and next prime (101059561).

It can be written as a sum of positive squares in 4 ways, for example, as 83064996 + 17994564 = 9114^2 + 4242^2 .

It is not an unprimeable number, because it can be changed into a prime (101059561) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 299712 + ... + 300048.

Almost surely, 2^101059560 is an apocalyptic number.

101059560 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 101059560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202870980).

101059560 is an abundant number, since it is smaller than the sum of its proper divisors (304682400).

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

101059560 is a wasteful number, since it uses less digits than its factorization.

101059560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 101059560 is about 10052.8384051471. The cubic root of 101059560 is about 465.7924745368.

The spelling of 101059560 in words is "one hundred one million, fifty-nine thousand, five hundred sixty".