10208007 has 24 divisors (see below), whose sum is σ = 15758496. Its totient is φ = 6345216.

The previous prime is 10207999. The next prime is 10208027. The reversal of 10208007 is 70080201.

10208007 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10208007 - 2³ = 10207999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10208027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20718 + ... + 21204.

It is an arithmetic number, because the mean of its divisors is an integer number (656604).

Almost surely, 2^10208007 is an apocalyptic number.

10208007 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10208007 is a deficient number, since it is larger than the sum of its proper divisors (5550489).

10208007 is a wasteful number, since it uses less digits than its factorization.

10208007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 10208007 is about 3194.9971830973. The cubic root of 10208007 is about 216.9270214080.

Adding to 10208007 its sum of digits (18), we get a square (10208025 = 3195²).

Adding to 10208007 its reverse (70080201), we get a palindrome (80288208).

The spelling of 10208007 in words is "ten million, two hundred eight thousand, seven".