100040004 has 27 divisors (see below), whose sum is σ = 253030687. Its totient is φ = 33326664.

The previous prime is 100039981. The next prime is 100040011. The reversal of 100040004 is 400040001.

The square root of 100040004 is 10002.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 59179 + ... + 60845.

Almost surely, 2^100040004 is an apocalyptic number.

100040004 is the 10002-nd square number.

It is an amenable number.

100040004 is an abundant number, since it is smaller than the sum of its proper divisors (152990683).

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

100040004 is an equidigital number, since it uses as much as digits as its factorization.

100040004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3344 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The cubic root of 100040004 is about 464.2207691496.

Multiplying 100040004 by its product of nonzero digits (16), we get a square (1600640064 = 40008²).

Adding to 100040004 its reverse (400040001), we get a palindrome (500080005).

The spelling of 100040004 in words is "one hundred million, forty thousand, four".