106882832 has 40 divisors (see below), whose sum is σ = 240020352. Its totient is φ = 45158400.

The previous prime is 106882801. The next prime is 106882843. The reversal of 106882832 is 238288601.

It is a super-2 number, since 2×106882832² = 22847879552680448, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1232 + ... + 14672.

Almost surely, 2^106882832 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 106882832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120010176).

106882832 is an abundant number, since it is smaller than the sum of its proper divisors (133137520).

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

106882832 is a wasteful number, since it uses less digits than its factorization.

106882832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13527 (or 13521 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 106882832 is about 10338.4153524609. The cubic root of 106882832 is about 474.5725898576.

The spelling of 106882832 in words is "one hundred six million, eight hundred eighty-two thousand, eight hundred thirty-two".