100040064 has 128 divisors (see below), whose sum is σ = 284359680. Its totient is φ = 31088640.

The previous prime is 100040063. The next prime is 100040071. The reversal of 100040064 is 460040001.

100040064 = 3330² + 3331² + ... + 3338².

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100040063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 414984 + ... + 415224.

It is an arithmetic number, because the mean of its divisors is an integer number (2221560).

Almost surely, 2^100040064 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 100040064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142179840).

100040064 is an abundant number, since it is smaller than the sum of its proper divisors (184319616).

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

100040064 is a wasteful number, since it uses less digits than its factorization.

100040064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 100040064 is about 10002.0029993997. The cubic root of 100040064 is about 464.2208619567.

Adding to 100040064 its reverse (460040001), we get a palindrome (560080065).

The spelling of 100040064 in words is "one hundred million, forty thousand, sixty-four".