100084410 has 56 divisors (see below), whose sum is σ = 270124020. Its totient is φ = 26687232.

The previous prime is 100084373. The next prime is 100084429. The reversal of 100084410 is 14480001.

It can be written as a sum of positive squares in 2 ways, for example, as 98188281 + 1896129 = 9909^2 + 1377^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 426 + ... + 14154.

Almost surely, 2^100084410 is an apocalyptic number.

100084410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100084410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135062010).

100084410 is an abundant number, since it is smaller than the sum of its proper divisors (170039610).

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

100084410 is an equidigital number, since it uses as much as digits as its factorization.

100084410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13754 (or 13739 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 100084410 is about 10004.2196097447. The cubic root of 100084410 is about 464.2894454702.

The spelling of 100084410 in words is "one hundred million, eighty-four thousand, four hundred ten".