101560283136 has 624 divisors, whose sum is σ = 336602133504. Its totient is φ = 30401298432.

The previous prime is 101560283113. The next prime is 101560283137. The reversal of 101560283136 is 631382065101.

101560283136 is a `hidden beast` number, since 1 + 0 + 1 + 560 + 2 + 83 + 13 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×101560283136² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 101560283136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101560283137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 608145325 + ... + 608145491.

It is an arithmetic number, because the mean of its divisors is an integer number (539426496).

Almost surely, 2^101560283136 is an apocalyptic number.

101560283136 is a gapful number since it is divisible by the number (16) 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 101560283136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168301066752).

101560283136 is an abundant number, since it is smaller than the sum of its proper divisors (235041850368).

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

101560283136 is an equidigital number, since it uses as much as digits as its factorization.

101560283136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 101560283136 in words is "one hundred one billion, five hundred sixty million, two hundred eighty-three thousand, one hundred thirty-six".