106712000 has 56 divisors (see below), whose sum is σ = 264292080. Its totient is φ = 42681600.

The previous prime is 106711993. The next prime is 106712003. The reversal of 106712000 is 217601.

It is a happy number.

It is a super-2 number, since 2×106712000² = 22774901888000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106712000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106712003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1331 + ... + 14669.

Almost surely, 2^106712000 is an apocalyptic number.

106712000 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 106712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132146040).

106712000 is an abundant number, since it is smaller than the sum of its proper divisors (157580080).

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

106712000 is an equidigital number, since it uses as much as digits as its factorization.

106712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13366 (or 13346 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 106712000 is about 10330.1500473130. The cubic root of 106712000 is about 474.3196168454.

Adding to 106712000 its reverse (217601), we get a palindrome (106929601).

The spelling of 106712000 in words is "one hundred six million, seven hundred twelve thousand".