10186812 has 72 divisors (see below), whose sum is σ = 27714960. Its totient is φ = 3144960.

The previous prime is 10186811. The next prime is 10186823. The reversal of 10186812 is 21868101.

10186812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10186812² = 207542277446688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10186811) 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, 36112 + ... + 36392.

It is an arithmetic number, because the mean of its divisors is an integer number (384930).

Almost surely, 2^10186812 is an apocalyptic number.

10186812 is a gapful number since it is divisible by the number (12) 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 10186812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13857480).

10186812 is an abundant number, since it is smaller than the sum of its proper divisors (17528148).

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

10186812 is a wasteful number, since it uses less digits than its factorization.

10186812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 10186812 is about 3191.6785552433. The cubic root of 10186812 is about 216.7767813717.

The spelling of 10186812 in words is "ten million, one hundred eighty-six thousand, eight hundred twelve".