106885032 has 64 divisors (see below), whose sum is σ = 288187200. Its totient is φ = 32924160.

The previous prime is 106885021. The next prime is 106885043. The reversal of 106885032 is 230588601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106885021) and next prime (106885043).

It is a super-2 number, since 2×106885032² = 22848820131282048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106884984 and 106885002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15838 + ... + 21554.

It is an arithmetic number, because the mean of its divisors is an integer number (4502925).

Almost surely, 2^106885032 is an apocalyptic number.

106885032 is a gapful number since it is divisible by the number (12) 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 106885032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144093600).

106885032 is an abundant number, since it is smaller than the sum of its proper divisors (181302168).

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

106885032 is a wasteful number, since it uses less digits than its factorization.

106885032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5786 (or 5782 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 106885032 is about 10338.5217511983. The cubic root of 106885032 is about 474.5758459232.

The spelling of 106885032 in words is "one hundred six million, eight hundred eighty-five thousand, thirty-two".