100929583744 has 128 divisors (see below), whose sum is σ = 231247872000. Its totient is φ = 43451673600.

The previous prime is 100929583739. The next prime is 100929583747. The reversal of 100929583744 is 447385929001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 100929583691 and 100929583700.

It is not an unprimeable number, because it can be changed into a prime (100929583747) by changing a digit.

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, 2026857 + ... + 2076055.

It is an arithmetic number, because the mean of its divisors is an integer number (1806624000).

Almost surely, 2^100929583744 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 100929583744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115623936000).

100929583744 is an abundant number, since it is smaller than the sum of its proper divisors (130318288256).

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

100929583744 is a wasteful number, since it uses less digits than its factorization.

100929583744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49302 (or 49290 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 100929583744 in words is "one hundred billion, nine hundred twenty-nine million, five hundred eighty-three thousand, seven hundred forty-four".