105728810 has 32 divisors (see below), whose sum is σ = 208039104. Its totient is φ = 38368000.

The previous prime is 105728807. The next prime is 105728813. The reversal of 105728810 is 18827501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105728807) and next prime (105728813).

It is a super-2 number, since 2×105728810² = 22357162528032200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105728813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96365 + ... + 97455.

It is an arithmetic number, because the mean of its divisors is an integer number (6501222).

Almost surely, 2^105728810 is an apocalyptic number.

105728810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105728810 is a deficient number, since it is larger than the sum of its proper divisors (102310294).

105728810 is a wasteful number, since it uses less digits than its factorization.

105728810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990.

The product of its (nonzero) digits is 4480, while the sum is 32.

The square root of 105728810 is about 10282.4515559277. The cubic root of 105728810 is about 472.8584069028.

The spelling of 105728810 in words is "one hundred five million, seven hundred twenty-eight thousand, eight hundred ten".