10200312 has 24 divisors (see below), whose sum is σ = 27626040. Its totient is φ = 3400080.

The previous prime is 10200301. The next prime is 10200313. The reversal of 10200312 is 21300201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10200294 and 10200303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70764 + ... + 70907.

It is an arithmetic number, because the mean of its divisors is an integer number (1151085).

Almost surely, 2^10200312 is an apocalyptic number.

10200312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10200312 is an abundant number, since it is smaller than the sum of its proper divisors (17425728).

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

10200312 is a wasteful number, since it uses less digits than its factorization.

10200312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141683 (or 141676 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10200312 is about 3193.7927296554. The cubic root of 10200312 is about 216.8724997289.

Adding to 10200312 its reverse (21300201), we get a palindrome (31500513).

The spelling of 10200312 in words is "ten million, two hundred thousand, three hundred twelve".