106686072 has 80 divisors (see below), whose sum is σ = 303831000. Its totient is φ = 34966080.

The previous prime is 106686071. The next prime is 106686079. The reversal of 106686072 is 270686601.

It is a happy number.

It is a super-2 number, since 2×106686072² = 22763835917578368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106686071) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38179 + ... + 40877.

Almost surely, 2^106686072 is an apocalyptic number.

106686072 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 106686072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151915500).

106686072 is an abundant number, since it is smaller than the sum of its proper divisors (197144928).

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

106686072 is a wasteful number, since it uses less digits than its factorization.

106686072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 106686072 is about 10328.8950038230. The cubic root of 106686072 is about 474.2811983132.

The spelling of 106686072 in words is "one hundred six million, six hundred eighty-six thousand, seventy-two".