100052004 has 96 divisors (see below), whose sum is σ = 275014656. Its totient is φ = 28016640.

The previous prime is 100052003. The next prime is 100052009. The reversal of 100052004 is 400250001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100052003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81604 + ... + 82820.

It is an arithmetic number, because the mean of its divisors is an integer number (2864736).

Almost surely, 2^100052004 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 100052004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137507328).

100052004 is an abundant number, since it is smaller than the sum of its proper divisors (174962652).

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

100052004 is a wasteful number, since it uses less digits than its factorization.

100052004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 100052004 is about 10002.5998620359. The cubic root of 100052004 is about 464.2393298130.

The spelling of 100052004 in words is "one hundred million, fifty-two thousand, four".