105452352330 has 64 divisors (see below), whose sum is σ = 272727544320. Its totient is φ = 25940952576.

The previous prime is 105452352293. The next prime is 105452352331. The reversal of 105452352330 is 33253254501.

It is a super-2 number, since 2×105452352330² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105452352291 and 105452352300.

It is not an unprimeable number, because it can be changed into a prime (105452352331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 531966 + ... + 702774.

It is an arithmetic number, because the mean of its divisors is an integer number (4261367880).

Almost surely, 2^105452352330 is an apocalyptic number.

105452352330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105452352330 is an abundant number, since it is smaller than the sum of its proper divisors (167275191990).

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

105452352330 is a wasteful number, since it uses less digits than its factorization.

105452352330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172415.

The product of its (nonzero) digits is 54000, while the sum is 33.

The spelling of 105452352330 in words is "one hundred five billion, four hundred fifty-two million, three hundred fifty-two thousand, three hundred thirty".