10006140312 has 96 divisors (see below), whose sum is σ = 30992176800. Its totient is φ = 2856978432.

The previous prime is 10006140311. The next prime is 10006140379. The reversal of 10006140312 is 21304160001.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006140311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 855528 + ... + 867144.

It is an arithmetic number, because the mean of its divisors is an integer number (322835175).

Almost surely, 2^10006140312 is an apocalyptic number.

10006140312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10006140312 is an abundant number, since it is smaller than the sum of its proper divisors (20986036488).

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

10006140312 is a wasteful number, since it uses less digits than its factorization.

10006140312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13345 (or 13338 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The spelling of 10006140312 in words is "ten billion, six million, one hundred forty thousand, three hundred twelve".