105851125 has 16 divisors (see below), whose sum is σ = 132415920. Its totient is φ = 84480000.

The previous prime is 105851107. The next prime is 105851167. The reversal of 105851125 is 521158501.

It can be written as a sum of positive squares in 8 ways, for example, as 49646116 + 56205009 = 7046^2 + 7497^2 .

It is not a de Polignac number, because 105851125 - 2¹⁵ = 105818357 is a prime.

It is a super-2 number, since 2×105851125² = 22408921327531250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105851093 and 105851102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74421 + ... + 75829.

It is an arithmetic number, because the mean of its divisors is an integer number (8275995).

Almost surely, 2^105851125 is an apocalyptic number.

It is an amenable number.

105851125 is a deficient number, since it is larger than the sum of its proper divisors (26564795).

105851125 is an equidigital number, since it uses as much as digits as its factorization.

105851125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 28.

The square root of 105851125 is about 10288.3975914619. The cubic root of 105851125 is about 473.0406826285.

The spelling of 105851125 in words is "one hundred five million, eight hundred fifty-one thousand, one hundred twenty-five".