100435516414 has 16 divisors (see below), whose sum is σ = 151631031888. Its totient is φ = 49892249152.

The previous prime is 100435516303. The next prime is 100435516421. The reversal of 100435516414 is 414615534001.

It is a self number, because there is not a number n which added to its sum of digits gives 100435516414.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 392034 + ... + 595450.

It is an arithmetic number, because the mean of its divisors is an integer number (9476939493).

Almost surely, 2^100435516414 is an apocalyptic number.

100435516414 is a deficient number, since it is larger than the sum of its proper divisors (51195515474).

100435516414 is a wasteful number, since it uses less digits than its factorization.

100435516414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205019.

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 100435516414 in words is "one hundred billion, four hundred thirty-five million, five hundred sixteen thousand, four hundred fourteen".