105366466152 has 24 divisors (see below), whose sum is σ = 285367512690. Its totient is φ = 35122155360.

The previous prime is 105366466147. The next prime is 105366466171. The reversal of 105366466152 is 251664663501.

105366466152 is a `hidden beast` number, since 1 + 0 + 5 + 36 + 6 + 466 + 152 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78475057956 + 26891408196 = 280134^2 + 163986^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×105366466152² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105366466098 and 105366466107.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 731711499 + ... + 731711642.

Almost surely, 2^105366466152 is an apocalyptic number.

105366466152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105366466152 is an abundant number, since it is smaller than the sum of its proper divisors (180001046538).

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

105366466152 is a wasteful number, since it uses less digits than its factorization.

105366466152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463423153 (or 1463423146 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 105366466152 in words is "one hundred five billion, three hundred sixty-six million, four hundred sixty-six thousand, one hundred fifty-two".