105536105352 has 48 divisors (see below), whose sum is σ = 286293347340. Its totient is φ = 35121299328.

The previous prime is 105536105261. The next prime is 105536105369. The reversal of 105536105352 is 253501635501.

105536105352 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 3 + 610 + 5 + 35 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 92431808676 + 13104296676 = 304026^2 + 114474^2 .

It is a super-2 number, since 2×105536105352² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1151443 + ... + 1239714.

Almost surely, 2^105536105352 is an apocalyptic number.

105536105352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105536105352 is an abundant number, since it is smaller than the sum of its proper divisors (180757241988).

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

105536105352 is a wasteful number, since it uses less digits than its factorization.

105536105352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391782 (or 2391775 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 105536105352 in words is "one hundred five billion, five hundred thirty-six million, one hundred five thousand, three hundred fifty-two".