100410004314 has 96 divisors (see below), whose sum is σ = 232192396800. Its totient is φ = 31250520576.

The previous prime is 100410004271. The next prime is 100410004351. The reversal of 100410004314 is 413400014001.

It is a super-3 number, since 3×100410004314³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22345852 + ... + 22350344.

It is an arithmetic number, because the mean of its divisors is an integer number (2418670800).

Almost surely, 2^100410004314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100410004314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116096198400).

100410004314 is an abundant number, since it is smaller than the sum of its proper divisors (131782392486).

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

100410004314 is a wasteful number, since it uses less digits than its factorization.

100410004314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5084 (or 5081 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100410004314 its reverse (413400014001), we get a palindrome (513810018315).

The spelling of 100410004314 in words is "one hundred billion, four hundred ten million, four thousand, three hundred fourteen".