10217400 has 48 divisors (see below), whose sum is σ = 31675800. Its totient is φ = 2724480.

The previous prime is 10217381. The next prime is 10217401. The reversal of 10217400 is 471201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10217400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10217401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7915 + ... + 9114.

Almost surely, 2^10217400 is an apocalyptic number.

10217400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10217400 is an abundant number, since it is smaller than the sum of its proper divisors (21458400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10217400 is a wasteful number, since it uses less digits than its factorization.

10217400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17048 (or 17039 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 10217400 is about 3196.4667994522. The cubic root of 10217400 is about 216.9935368685.

Adding to 10217400 its reverse (471201), we get a palindrome (10688601).

The spelling of 10217400 in words is "ten million, two hundred seventeen thousand, four hundred".