104529913872 has 160 divisors (see below), whose sum is σ = 283800692736. Its totient is φ = 33089971200.

The previous prime is 104529913867. The next prime is 104529913879. The reversal of 104529913872 is 278319925401.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (104529913879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151273047 + ... + 151273737.

Almost surely, 2^104529913872 is an apocalyptic number.

104529913872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104529913872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141900346368).

104529913872 is an abundant number, since it is smaller than the sum of its proper divisors (179270778864).

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

104529913872 is a wasteful number, since it uses less digits than its factorization.

104529913872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 104529913872 in words is "one hundred four billion, five hundred twenty-nine million, nine hundred thirteen thousand, eight hundred seventy-two".