10077025 has 24 divisors (see below), whose sum is σ = 14463360. Its totient is φ = 6821760.

The previous prime is 10076951. The next prime is 10077031. The reversal of 10077025 is 52077001.

It is not a de Polignac number, because 10077025 - 2⁹ = 10076513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10076987 and 10077005.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 15252 + ... + 15898.

It is an arithmetic number, because the mean of its divisors is an integer number (602640).

Almost surely, 2^10077025 is an apocalyptic number.

It is an amenable number.

10077025 is a deficient number, since it is larger than the sum of its proper divisors (4386335).

10077025 is an equidigital number, since it uses as much as digits as its factorization.

10077025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 22.

The square root of 10077025 is about 3174.4330202416. The cubic root of 10077025 is about 215.9952059407.

The spelling of 10077025 in words is "ten million, seventy-seven thousand, twenty-five".