100105083733344 has 96 divisors (see below), whose sum is σ = 274365379249920. Its totient is φ = 31898415048192.

The previous prime is 100105083733337. The next prime is 100105083733357. The reversal of 100105083733344 is 443337380501001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 100105083733296 and 100105083733305.

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 15 ways as a sum of consecutive naturals, for example, 9917779 + ... + 17279250.

It is an arithmetic number, because the mean of its divisors is an integer number (2857972700520).

Almost surely, 2^{100105083733344} is an apocalyptic number.

It is an amenable number.

100105083733344 is an abundant number, since it is smaller than the sum of its proper divisors (174260295516576).

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

100105083733344 is a wasteful number, since it uses less digits than its factorization.

100105083733344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27198732 (or 27198724 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 100105083733344 in words is "one hundred trillion, one hundred five billion, eighty-three million, seven hundred thirty-three thousand, three hundred forty-four".