106722832 has 40 divisors (see below), whose sum is σ = 215621120. Its totient is φ = 51114240.

The previous prime is 106722827. The next prime is 106722841. The reversal of 106722832 is 238227601.

It is a super-2 number, since 2×106722832² = 22779525740200448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 106722794 and 106722803.

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, 50044 + ... + 52132.

It is an arithmetic number, because the mean of its divisors is an integer number (5390528).

Almost surely, 2^106722832 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 106722832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107810560).

106722832 is an abundant number, since it is smaller than the sum of its proper divisors (108898288).

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

106722832 is a wasteful number, since it uses less digits than its factorization.

106722832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2231 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 106722832 is about 10330.6743245540. The cubic root of 106722832 is about 474.3356652006.

The spelling of 106722832 in words is "one hundred six million, seven hundred twenty-two thousand, eight hundred thirty-two".