10097200 has 30 divisors (see below), whose sum is σ = 24259484. Its totient is φ = 4038720.

The previous prime is 10097183. The next prime is 10097203. The reversal of 10097200 is 279001.

It is a super-3 number, since 3×10097200³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10097203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12222 + ... + 13021.

Almost surely, 2^10097200 is an apocalyptic number.

10097200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10097200 is an abundant number, since it is smaller than the sum of its proper divisors (14162284).

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

10097200 is a wasteful number, since it uses less digits than its factorization.

10097200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25261 (or 25250 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 10097200 is about 3177.6091641358. The cubic root of 10097200 is about 216.1392563377.

The spelling of 10097200 in words is "ten million, ninety-seven thousand, two hundred".