40106304 has 210 divisors, whose sum is σ = 138733530. Its totient is φ = 11063808.

The previous prime is 40106303. The next prime is 40106309. The reversal of 40106304 is 40360104.

It can be written as a sum of positive squares in only one way, i.e., 34574400 + 5531904 = 5880^2 + 2352^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40106303) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1382962 + ... + 1382990.

Almost surely, 2^40106304 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 40106304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69366765).

40106304 is an abundant number, since it is smaller than the sum of its proper divisors (98627226).

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

40106304 is an equidigital number, since it uses as much as digits as its factorization.

40106304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 40106304 is about 6332.9538131902. The cubic root of 40106304 is about 342.2978834852.

Adding to 40106304 its reverse (40360104), we get a palindrome (80466408).

The spelling of 40106304 in words is "forty million, one hundred six thousand, three hundred four".