10203505312 has 192 divisors, whose sum is σ = 27433728000. Its totient is φ = 3606727680.

The previous prime is 10203505309. The next prime is 10203505313. The reversal of 10203505312 is 21350530201.

It is a super-2 number, since 2×10203505312² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (10203505313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1887189 + ... + 1892587.

It is an arithmetic number, because the mean of its divisors is an integer number (142884000).

Almost surely, 2^10203505312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10203505312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13716864000).

10203505312 is an abundant number, since it is smaller than the sum of its proper divisors (17230222688).

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

10203505312 is a wasteful number, since it uses less digits than its factorization.

10203505312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5499 (or 5491 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

It can be divided in two parts, 10203 and 505312, that added together give a palindrome (515515).

The spelling of 10203505312 in words is "ten billion, two hundred three million, five hundred five thousand, three hundred twelve".