100605046834432 has 144 divisors (see below), whose sum is σ = 230687135078400. Its totient is φ = 42894467979264.

The previous prime is 100605046834289. The next prime is 100605046834483. The reversal of 100605046834432 is 234438640506001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4510010223 + ... + 4510032529.

It is an arithmetic number, because the mean of its divisors is an integer number (1601993993600).

Almost surely, 2^{100605046834432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100605046834432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115343567539200).

100605046834432 is an abundant number, since it is smaller than the sum of its proper divisors (130082088243968).

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

100605046834432 is a wasteful number, since it uses less digits than its factorization.

100605046834432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35176 (or 35162 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 46.

The spelling of 100605046834432 in words is "one hundred trillion, six hundred five billion, forty-six million, eight hundred thirty-four thousand, four hundred thirty-two".