106863680 has 112 divisors (see below), whose sum is σ = 317333376. Its totient is φ = 33300480.

The previous prime is 106863661. The next prime is 106863697. The reversal of 106863680 is 86368601.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×106863680² = 22839692206284800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22472 + ... + 26808.

Almost surely, 2^106863680 is an apocalyptic number.

106863680 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 106863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158666688).

106863680 is an abundant number, since it is smaller than the sum of its proper divisors (210469696).

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

106863680 is a wasteful number, since it uses less digits than its factorization.

106863680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4372 (or 4362 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 106863680 is about 10337.4890568261. The cubic root of 106863680 is about 474.5442424389.

The spelling of 106863680 in words is "one hundred six million, eight hundred sixty-three thousand, six hundred eighty".