104429227968 has 560 divisors, whose sum is σ = 352241144640. Its totient is φ = 30349541376.

The previous prime is 104429227943. The next prime is 104429228003. The reversal of 104429227968 is 869722924401.

It is a happy number.

104429227968 is a `hidden beast` number, since 1 + 0 + 442 + 92 + 27 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 137951046 + ... + 137951802.

It is an arithmetic number, because the mean of its divisors is an integer number (629002044).

Almost surely, 2^104429227968 is an apocalyptic number.

104429227968 is a gapful number since it is divisible by the number (18) 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 104429227968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176120572320).

104429227968 is an abundant number, since it is smaller than the sum of its proper divisors (247811916672).

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

104429227968 is a wasteful number, since it uses less digits than its factorization.

104429227968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 104429227968 in words is "one hundred four billion, four hundred twenty-nine million, two hundred twenty-seven thousand, nine hundred sixty-eight".