106200705 has 32 divisors (see below), whose sum is σ = 183488256. Its totient is φ = 52141824.

The previous prime is 106200667. The next prime is 106200707. The reversal of 106200705 is 507002601.

It is not a de Polignac number, because 106200705 - 2¹⁴ = 106184321 is a prime.

It is a super-2 number, since 2×106200705² = 22557179484994050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106200707) 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 31 ways as a sum of consecutive naturals, for example, 142564 + ... + 143306.

It is an arithmetic number, because the mean of its divisors is an integer number (5734008).

Almost surely, 2^106200705 is an apocalyptic number.

106200705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106200705 is a deficient number, since it is larger than the sum of its proper divisors (77287551).

106200705 is a wasteful number, since it uses less digits than its factorization.

106200705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 106200705 is about 10305.3726279063. The cubic root of 106200705 is about 473.5608592814.

The spelling of 106200705 in words is "one hundred six million, two hundred thousand, seven hundred five".