106982880 has 96 divisors (see below), whose sum is σ = 340308864. Its totient is φ = 28248576.

The previous prime is 106982849. The next prime is 106982881. The reversal of 106982880 is 88289601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106982880² = 22890673226188800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106982881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50319 + ... + 52401.

It is an arithmetic number, because the mean of its divisors is an integer number (3544884).

Almost surely, 2^106982880 is an apocalyptic number.

106982880 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 106982880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170154432).

106982880 is an abundant number, since it is smaller than the sum of its proper divisors (233325984).

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

106982880 is a wasteful number, since it uses less digits than its factorization.

106982880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 106982880 is about 10343.2528732503. The cubic root of 106982880 is about 474.7206187184.

The spelling of 106982880 in words is "one hundred six million, nine hundred eighty-two thousand, eight hundred eighty".