105562730952 has 400 divisors, whose sum is σ = 363187743600. Its totient is φ = 28565369280.

The previous prime is 105562730947. The next prime is 105562730963. The reversal of 105562730952 is 259037265501.

105562730952 is a `hidden beast` number, since 1 + 0 + 5 + 562 + 7 + 30 + 9 + 52 = 666.

It is a super-2 number, since 2×105562730952² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105562730898 and 105562730907.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 29559327 + ... + 29562897.

It is an arithmetic number, because the mean of its divisors is an integer number (907969359).

Almost surely, 2^105562730952 is an apocalyptic number.

105562730952 is a gapful number since it is divisible by the number (12) 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 105562730952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181593871800).

105562730952 is an abundant number, since it is smaller than the sum of its proper divisors (257625012648).

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

105562730952 is an equidigital number, since it uses as much as digits as its factorization.

105562730952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3636 (or 3602 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 105562730952 in words is "one hundred five billion, five hundred sixty-two million, seven hundred thirty thousand, nine hundred fifty-two".