40106112 has 128 divisors (see below), whose sum is σ = 117504000. Its totient is φ = 12063744.

The previous prime is 40106083. The next prime is 40106123. The reversal of 40106112 is 21160104.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 40106091 and 40106100.

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 15 ways as a sum of consecutive naturals, for example, 167689 + ... + 167927.

It is an arithmetic number, because the mean of its divisors is an integer number (918000).

Almost surely, 2^40106112 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 40106112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58752000).

40106112 is an abundant number, since it is smaller than the sum of its proper divisors (77397888).

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

40106112 is a wasteful number, since it uses less digits than its factorization.

40106112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 40106112 is about 6332.9386543689. The cubic root of 40106112 is about 342.2973372594.

Adding to 40106112 its reverse (21160104), we get a palindrome (61266216).

The spelling of 40106112 in words is "forty million, one hundred six thousand, one hundred twelve".