106882160 has 80 divisors (see below), whose sum is σ = 309837312. Its totient is φ = 33312000.

The previous prime is 106882103. The next prime is 106882177. The reversal of 106882160 is 61288601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106882160² = 22847592252531200, 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 15 ways as a sum of consecutive naturals, for example, 2516 + ... + 14835.

Almost surely, 2^106882160 is an apocalyptic number.

106882160 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 106882160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154918656).

106882160 is an abundant number, since it is smaller than the sum of its proper divisors (202955152).

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

106882160 is a wasteful number, since it uses less digits than its factorization.

106882160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17382 (or 17376 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 106882160 is about 10338.3828522647. The cubic root of 106882160 is about 474.5715952687.

The spelling of 106882160 in words is "one hundred six million, eight hundred eighty-two thousand, one hundred sixty".