106432101 has 24 divisors (see below), whose sum is σ = 156113880. Its totient is φ = 69866496.

The previous prime is 106432099. The next prime is 106432133. The reversal of 106432101 is 101234601.

It is a happy number.

106432101 is a `hidden beast` number, since 1 + 0 + 643 + 21 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27311076 + 79121025 = 5226^2 + 8895^2 .

It is not a de Polignac number, because 106432101 - 2¹ = 106432099 is a prime.

It is a super-2 number, since 2×106432101² = 22655584246548402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106432141) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 232665 + ... + 233121.

It is an arithmetic number, because the mean of its divisors is an integer number (6504745).

Almost surely, 2^106432101 is an apocalyptic number.

It is an amenable number.

106432101 is a deficient number, since it is larger than the sum of its proper divisors (49681779).

106432101 is a wasteful number, since it uses less digits than its factorization.

106432101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106432101 is about 10316.5934784695. The cubic root of 106432101 is about 473.9045500268.

Adding to 106432101 its reverse (101234601), we get a palindrome (207666702).

The spelling of 106432101 in words is "one hundred six million, four hundred thirty-two thousand, one hundred one".