105653210256 has 120 divisors (see below), whose sum is σ = 322673472576. Its totient is φ = 32005105920.

The previous prime is 105653210233. The next prime is 105653210281. The reversal of 105653210256 is 652012356501.

105653210256 is a `hidden beast` number, since 1 + 0 + 565 + 32 + 10 + 2 + 56 = 666.

It is a super-2 number, since 2×105653210256² (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 105653210256.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5396421 + ... + 5415963.

Almost surely, 2^105653210256 is an apocalyptic number.

105653210256 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 105653210256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161336736288).

105653210256 is an abundant number, since it is smaller than the sum of its proper divisors (217020262320).

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

105653210256 is a wasteful number, since it uses less digits than its factorization.

105653210256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22981 (or 22972 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 105653210256 its reverse (652012356501), we get a palindrome (757665566757).

The spelling of 105653210256 in words is "one hundred five billion, six hundred fifty-three million, two hundred ten thousand, two hundred fifty-six".