100146004 has 36 divisors (see below), whose sum is σ = 206195220. Its totient is φ = 42430080.

The previous prime is 100145989. The next prime is 100146023. The reversal of 100146004 is 400641001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 33756100 + 66389904 = 5810^2 + 8148^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14574 + ... + 20314.

It is an arithmetic number, because the mean of its divisors is an integer number (5727645).

Almost surely, 2^100146004 is an apocalyptic number.

100146004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100146004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103097610).

100146004 is an abundant number, since it is smaller than the sum of its proper divisors (106049216).

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

100146004 is a wasteful number, since it uses less digits than its factorization.

100146004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5848 (or 5839 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 100146004 is about 10007.2975372975. The cubic root of 100146004 is about 464.3846703562.

Adding to 100146004 its reverse (400641001), we get a palindrome (500787005).

The spelling of 100146004 in words is "one hundred million, one hundred forty-six thousand, four".