103929529104 has 480 divisors, whose sum is σ = 336207231360. Its totient is φ = 29760307200.

The previous prime is 103929529097. The next prime is 103929529127. The reversal of 103929529104 is 401925929301.

103929529104 is a `hidden beast` number, since 10 + 3 + 9 + 2 + 9 + 529 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 103929529104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 225443434 + ... + 225443894.

It is an arithmetic number, because the mean of its divisors is an integer number (700431732).

Almost surely, 2^103929529104 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 103929529104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168103615680).

103929529104 is an abundant number, since it is smaller than the sum of its proper divisors (232277702256).

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

103929529104 is a wasteful number, since it uses less digits than its factorization.

103929529104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 103929529104 in words is "one hundred three billion, nine hundred twenty-nine million, five hundred twenty-nine thousand, one hundred four".