105231200256 has 936 divisors, whose sum is σ = 399081246720. Its totient is φ = 26085556224.

The previous prime is 105231200209. The next prime is 105231200297. The reversal of 105231200256 is 652002132501.

It is a happy number.

105231200256 is a `hidden beast` number, since 10 + 523 + 120 + 0 + 2 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

It is a super-2 number, since 2×105231200256² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 828592065 + ... + 828592191.

Almost surely, 2^105231200256 is an apocalyptic number.

105231200256 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 105231200256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199540623360).

105231200256 is an abundant number, since it is smaller than the sum of its proper divisors (293850046464).

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

105231200256 is a wasteful number, since it uses less digits than its factorization.

105231200256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 105231200256 its reverse (652002132501), we get a palindrome (757233332757).

The spelling of 105231200256 in words is "one hundred five billion, two hundred thirty-one million, two hundred thousand, two hundred fifty-six".