10078200 has 144 divisors (see below), whose sum is σ = 36995400. Its totient is φ = 2438400.

The previous prime is 10078183. The next prime is 10078213. The reversal of 10078200 is 287001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19546 + ... + 20054.

Almost surely, 2^10078200 is an apocalyptic number.

10078200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10078200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18497700).

10078200 is an abundant number, since it is smaller than the sum of its proper divisors (26917200).

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

10078200 is a wasteful number, since it uses less digits than its factorization.

10078200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 530 counting only the distinct ones).

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

The square root of 10078200 is about 3174.6180872666. The cubic root of 10078200 is about 216.0036007630.

The spelling of 10078200 in words is "ten million, seventy-eight thousand, two hundred".