105461551232 has 64 divisors (see below), whose sum is σ = 214864160760. Its totient is φ = 51547668480.

The previous prime is 105461551207. The next prime is 105461551333. The reversal of 105461551232 is 232155164501.

105461551232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 95767967296 + 9693583936 = 309464^2 + 98456^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105461551232² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105461551192 and 105461551201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1005932 + ... + 1105812.

Almost surely, 2^105461551232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105461551232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107432080380).

105461551232 is an abundant number, since it is smaller than the sum of its proper divisors (109402609528).

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

105461551232 is an equidigital number, since it uses as much as digits as its factorization.

105461551232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100081 (or 100069 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 35.

The spelling of 105461551232 in words is "one hundred five billion, four hundred sixty-one million, five hundred fifty-one thousand, two hundred thirty-two".