100105083733304 has 128 divisors (see below), whose sum is σ = 205511258030400. Its totient is φ = 45437585817600.

The previous prime is 100105083733273. The next prime is 100105083733337. The reversal of 100105083733304 is 403337380501001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1323770807 + ... + 1323846425.

Almost surely, 2^{100105083733304} 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 100105083733304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102755629015200).

100105083733304 is an abundant number, since it is smaller than the sum of its proper divisors (105406174297096).

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

100105083733304 is a wasteful number, since it uses less digits than its factorization.

100105083733304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76585 (or 76581 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The spelling of 100105083733304 in words is "one hundred trillion, one hundred five billion, eighty-three million, seven hundred thirty-three thousand, three hundred four".