100410016 has 36 divisors (see below), whose sum is σ = 229960458. Its totient is φ = 43032192.

The previous prime is 100409993. The next prime is 100410029. The reversal of 100410016 is 610014001.

It can be written as a sum of positive squares in only one way, i.e., 99920016 + 490000 = 9996^2 + 700^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100409978 and 100410005.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30451 + ... + 33586.

Almost surely, 2^100410016 is an apocalyptic number.

100410016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100410016 is an abundant number, since it is smaller than the sum of its proper divisors (129550442).

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

100410016 is an equidigital number, since it uses as much as digits as its factorization.

100410016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64061 (or 64046 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 100410016 is about 10020.4798288306. The cubic root of 100410016 is about 464.7923935466.

Adding to 100410016 its reverse (610014001), we get a palindrome (710424017).

The spelling of 100410016 in words is "one hundred million, four hundred ten thousand, sixteen".