105752530 has 32 divisors (see below), whose sum is σ = 210007728. Its totient is φ = 38092800.

The previous prime is 105752527. The next prime is 105752533. The reversal of 105752530 is 35257501.

It is an interprime number because it is at equal distance from previous prime (105752527) and next prime (105752533).

It can be written as a sum of positive squares in 8 ways, for example, as 1283689 + 104468841 = 1133^2 + 10221^2 .

It is a super-2 number, since 2×105752530² = 22367195202801800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105752533) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4591 + ... + 15250.

Almost surely, 2^105752530 is an apocalyptic number.

105752530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105752530 is a deficient number, since it is larger than the sum of its proper divisors (104255198).

105752530 is a wasteful number, since it uses less digits than its factorization.

105752530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19902.

The product of its (nonzero) digits is 5250, while the sum is 28.

The square root of 105752530 is about 10283.6049126753. The cubic root of 105752530 is about 472.8937658012.

The spelling of 105752530 in words is "one hundred five million, seven hundred fifty-two thousand, five hundred thirty".