105030439056 has 135 divisors (see below), whose sum is σ = 297809650489. Its totient is φ = 34555132416.

The previous prime is 105030439043. The next prime is 105030439069. The reversal of 105030439056 is 650934030501.

The square root of 105030439056 is 324084.

It is a perfect power (a square), and thus also a powerful number.

105030439056 is a `hidden beast` number, since 10 + 503 + 0 + 4 + 3 + 90 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (105030439043) and next prime (105030439069).

It can be written as a sum of positive squares in only one way, i.e., 1850720400 + 103179718656 = 43020^2 + 321216^2 .

It is a super-2 number, since 2×105030439056² (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 a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105030439056.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 439457785 + ... + 439458023.

Almost surely, 2^105030439056 is an apocalyptic number.

105030439056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

105030439056 is the 324084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105030439056

105030439056 is an abundant number, since it is smaller than the sum of its proper divisors (192779211433).

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

105030439056 is an equidigital number, since it uses as much as digits as its factorization.

105030439056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

Multiplying 105030439056 by its sum of digits (36), we get a square (3781095806016 = 1944504²).

105030439056 divided by its sum of digits (36) gives a square (2917512196 = 54014²).

Adding to 105030439056 its reverse (650934030501), we get a palindrome (755964469557).

The spelling of 105030439056 in words is "one hundred five billion, thirty million, four hundred thirty-nine thousand, fifty-six".