40103168 has 108 divisors (see below), whose sum is σ = 97866720. Its totient is φ = 16321536.

The previous prime is 40103113. The next prime is 40103179. The reversal of 40103168 is 86130104.

It is a Harshad number since it is a multiple of its sum of digits (23).

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 11 ways as a sum of consecutive naturals, for example, 288443 + ... + 288581.

Almost surely, 2^40103168 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 40103168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48933360).

40103168 is an abundant number, since it is smaller than the sum of its proper divisors (57763552).

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

40103168 is a wasteful number, since it uses less digits than its factorization.

40103168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 40103168 is about 6332.7062145658. The cubic root of 40103168 is about 342.2889615782.

The spelling of 40103168 in words is "forty million, one hundred three thousand, one hundred sixty-eight".