100321434414 has 128 divisors (see below), whose sum is σ = 232569792000. Its totient is φ = 32028860160.

The previous prime is 100321434407. The next prime is 100321434457. The reversal of 100321434414 is 414434123001.

100321434414 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 214 + 3 + 441 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51472312 + ... + 51474260.

It is an arithmetic number, because the mean of its divisors is an integer number (1816951500).

Almost surely, 2^100321434414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100321434414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116284896000).

100321434414 is an abundant number, since it is smaller than the sum of its proper divisors (132248357586).

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

100321434414 is a wasteful number, since it uses less digits than its factorization.

100321434414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 100321434414 its reverse (414434123001), we get a palindrome (514755557415).

The spelling of 100321434414 in words is "one hundred billion, three hundred twenty-one million, four hundred thirty-four thousand, four hundred fourteen".