103565537856 has 567 divisors, whose sum is σ = 347652369337. Its totient is φ = 29452600320.

The previous prime is 103565537843. The next prime is 103565537857. The reversal of 103565537856 is 658735565301.

The square root of 103565537856 is 321816.

It is a perfect power (a square), and thus also a powerful number.

103565537856 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 6 + 553 + 7 + 85 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 74660097600 + 28905440256 = 273240^2 + 170016^2 .

It is a super-3 number, since 3×103565537856³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103565537857) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1954066726 + ... + 1954066778.

Almost surely, 2^103565537856 is an apocalyptic number.

103565537856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

103565537856 is the 321816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103565537856

103565537856 is an abundant number, since it is smaller than the sum of its proper divisors (244086831481).

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

103565537856 is a wasteful number, since it uses less digits than its factorization.

103565537856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 54.

The spelling of 103565537856 in words is "one hundred three billion, five hundred sixty-five million, five hundred thirty-seven thousand, eight hundred fifty-six".