106412032 has 48 divisors (see below), whose sum is σ = 214643520. Its totient is φ = 52740096.

The previous prime is 106412011. The next prime is 106412041. The reversal of 106412032 is 230214601.

It is a super-2 number, since 2×106412032² = 22647041108738048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 456588 + ... + 456820.

It is an arithmetic number, because the mean of its divisors is an integer number (4471740).

Almost surely, 2^106412032 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 106412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107321760).

106412032 is an abundant number, since it is smaller than the sum of its proper divisors (108231488).

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

106412032 is an equidigital number, since it uses as much as digits as its factorization.

106412032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 106412032 is about 10315.6207762791. The cubic root of 106412032 is about 473.8747614318.

Adding to 106412032 its reverse (230214601), we get a palindrome (336626633).

The spelling of 106412032 in words is "one hundred six million, four hundred twelve thousand, thirty-two".