105538656 has 96 divisors (see below), whose sum is σ = 289578240. Its totient is φ = 33614336.

The previous prime is 105538607. The next prime is 105538681. The reversal of 105538656 is 656835501.

105538656 is a nontrivial binomial coefficient, being equal to C(14529, 2).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105538656² = 22276815820572672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 464815 + ... + 465041.

It is an arithmetic number, because the mean of its divisors is an integer number (3016440).

Almost surely, 2^105538656 is an apocalyptic number.

105538656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

105538656 is the 14528-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105538656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144789120).

105538656 is an abundant number, since it is smaller than the sum of its proper divisors (184039584).

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

105538656 is a wasteful number, since it uses less digits than its factorization.

105538656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The square root of 105538656 is about 10273.2008643850. The cubic root of 105538656 is about 472.5747570751.

The spelling of 105538656 in words is "one hundred five million, five hundred thirty-eight thousand, six hundred fifty-six".