106926680 has 128 divisors (see below), whose sum is σ = 293760000. Its totient is φ = 34214400.

The previous prime is 106926667. The next prime is 106926713. The reversal of 106926680 is 86629601.

It is a super-2 number, since 2×106926680² = 22866629791644800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 537221 + ... + 537419.

It is an arithmetic number, because the mean of its divisors is an integer number (2295000).

Almost surely, 2^106926680 is an apocalyptic number.

106926680 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 106926680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146880000).

106926680 is an abundant number, since it is smaller than the sum of its proper divisors (186833320).

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

106926680 is a wasteful number, since it uses less digits than its factorization.

106926680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 106926680 is about 10340.5357694851. The cubic root of 106926680 is about 474.6374777777.

The spelling of 106926680 in words is "one hundred six million, nine hundred twenty-six thousand, six hundred eighty".