106967872 has 84 divisors (see below), whose sum is σ = 245932960. Its totient is φ = 45999360.

The previous prime is 106967857. The next prime is 106967881. The reversal of 106967872 is 278769601.

It is a happy number.

It is a super-2 number, since 2×106967872² = 22884251280416768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146773 + ... + 147499.

Almost surely, 2^106967872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106967872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122966480).

106967872 is an abundant number, since it is smaller than the sum of its proper divisors (138965088).

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

106967872 is a wasteful number, since it uses less digits than its factorization.

106967872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 46.

The square root of 106967872 is about 10342.5273507011. The cubic root of 106967872 is about 474.6984190910.

The spelling of 106967872 in words is "one hundred six million, nine hundred sixty-seven thousand, eight hundred seventy-two".