10185219 has 12 divisors (see below), whose sum is σ = 16049592. Its totient is φ = 6172800.

The previous prime is 10185209. The next prime is 10185257. The reversal of 10185219 is 91258101.

It is not a de Polignac number, because 10185219 - 2⁸ = 10184963 is a prime.

It is a super-2 number, since 2×10185219² = 207477372155922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10185192 and 10185201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10185209) 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 11 ways as a sum of consecutive naturals, for example, 51342 + ... + 51539.

It is an arithmetic number, because the mean of its divisors is an integer number (1337466).

Almost surely, 2^10185219 is an apocalyptic number.

10185219 is a deficient number, since it is larger than the sum of its proper divisors (5864373).

10185219 is a wasteful number, since it uses less digits than its factorization.

10185219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102898 (or 102895 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 10185219 is about 3191.4289902801. The cubic root of 10185219 is about 216.7654810285.

It can be divided in two parts, 10185 and 219, that added together give a square (10404 = 102²).

The spelling of 10185219 in words is "ten million, one hundred eighty-five thousand, two hundred nineteen".