105087825 has 36 divisors (see below), whose sum is σ = 191060688. Its totient is φ = 55202400.

The previous prime is 105087823. The next prime is 105087839. The reversal of 105087825 is 528780501.

It is not a de Polignac number, because 105087825 - 2¹ = 105087823 is a prime.

It is a super-2 number, since 2×105087825² = 22086901926461250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105087825.

It is not an unprimeable number, because it can be changed into a prime (105087821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11590 + ... + 18560.

Almost surely, 2^105087825 is an apocalyptic number.

105087825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105087825 is a deficient number, since it is larger than the sum of its proper divisors (85972863).

105087825 is a wasteful number, since it uses less digits than its factorization.

105087825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7054 (or 7046 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 105087825 is about 10251.2352914173. The cubic root of 105087825 is about 471.9008951770.

The spelling of 105087825 in words is "one hundred five million, eighty-seven thousand, eight hundred twenty-five".