100014330 has 128 divisors (see below), whose sum is σ = 275788800. Its totient is φ = 23030784.

The previous prime is 100014311. The next prime is 100014331. The reversal of 100014330 is 33410001.

100014330 = T₁₀₄ + T₁₀₅ + ... + T₈₄₃.

It is a super-4 number, since 4×100014330⁴ (a number of 33 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (100014331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 418351 + ... + 418589.

It is an arithmetic number, because the mean of its divisors is an integer number (2154600).

Almost surely, 2^100014330 is an apocalyptic number.

100014330 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 100014330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137894400).

100014330 is an abundant number, since it is smaller than the sum of its proper divisors (175774470).

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

100014330 is a wasteful number, since it uses less digits than its factorization.

100014330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 100014330 is about 10000.7164743332. The cubic root of 100014330 is about 464.1810536250.

Adding to 100014330 its reverse (33410001), we get a palindrome (133424331).

The spelling of 100014330 in words is "one hundred million, fourteen thousand, three hundred thirty".