104229884772 has 144 divisors (see below), whose sum is σ = 286363350000. Its totient is φ = 31774998528.

The previous prime is 104229884767. The next prime is 104229884779. The reversal of 104229884772 is 277488922401.

It can be written as a sum of positive squares in 8 ways, for example, as 16771286016 + 87458598756 = 129504^2 + 295734^2 .

It is not an unprimeable number, because it can be changed into a prime (104229884779) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31308004 + ... + 31311332.

It is an arithmetic number, because the mean of its divisors is an integer number (1988634375).

Almost surely, 2^104229884772 is an apocalyptic number.

104229884772 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 104229884772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143181675000).

104229884772 is an abundant number, since it is smaller than the sum of its proper divisors (182133465228).

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

104229884772 is a wasteful number, since it uses less digits than its factorization.

104229884772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3950 (or 3945 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 104229884772 in words is "one hundred four billion, two hundred twenty-nine million, eight hundred eighty-four thousand, seven hundred seventy-two".