106101632 has 64 divisors (see below), whose sum is σ = 260181600. Its totient is φ = 41969664.

The previous prime is 106101629. The next prime is 106101637. The reversal of 106101632 is 236101601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×106101632³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106101637) by changing a digit.

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, 7094 + ... + 16202.

Almost surely, 2^106101632 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 106101632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130090800).

106101632 is an abundant number, since it is smaller than the sum of its proper divisors (154079968).

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

106101632 is an equidigital number, since it uses as much as digits as its factorization.

106101632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9143 (or 9131 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 106101632 is about 10300.5646447173. The cubic root of 106101632 is about 473.4135542580.

The spelling of 106101632 in words is "one hundred six million, one hundred one thousand, six hundred thirty-two".