106340032 has 56 divisors (see below), whose sum is σ = 228728016. Its totient is φ = 48857088.

The previous prime is 106340029. The next prime is 106340053. The reversal of 106340032 is 230043601.

It is a super-2 number, since 2×106340032² = 22616404811522048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106339991 and 106340009.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45648 + ... + 47920.

Almost surely, 2^106340032 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 106340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114364008).

106340032 is an abundant number, since it is smaller than the sum of its proper divisors (122387984).

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

106340032 is a wasteful number, since it uses less digits than its factorization.

106340032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 106340032 is about 10312.1303327683. The cubic root of 106340032 is about 473.7678603598.

Adding to 106340032 its reverse (230043601), we get a palindrome (336383633).

The spelling of 106340032 in words is "one hundred six million, three hundred forty thousand, thirty-two".