105532104150656 has 128 divisors (see below), whose sum is σ = 212555917875600. Its totient is φ = 52186867826688.

The previous prime is 105532104150593. The next prime is 105532104150661. The reversal of 105532104150656 is 656051401235501.

It can be written as a sum of positive squares in 8 ways, for example, as 3977790913600 + 101554313237056 = 1994440^2 + 10077416^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105532104150656² (a number of 29 digits) contains 22 as substring.

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, 16303427036 + ... + 16303433508.

Almost surely, 2^{105532104150656} is an apocalyptic number.

105532104150656 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 105532104150656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106277958937800).

105532104150656 is an abundant number, since it is smaller than the sum of its proper divisors (107023813724944).

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

105532104150656 is a wasteful number, since it uses less digits than its factorization.

105532104150656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8846 (or 8834 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 44.

The spelling of 105532104150656 in words is "one hundred five trillion, five hundred thirty-two billion, one hundred four million, one hundred fifty thousand, six hundred fifty-six".