104742624 has 96 divisors (see below), whose sum is σ = 318366720. Its totient is φ = 29532672.

The previous prime is 104742613. The next prime is 104742647. The reversal of 104742624 is 426247401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 104742591 and 104742600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52102 + ... + 54074.

It is an arithmetic number, because the mean of its divisors is an integer number (3316320).

Almost surely, 2^104742624 is an apocalyptic number.

104742624 is a gapful number since it is divisible by the number (14) 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 104742624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159183360).

104742624 is an abundant number, since it is smaller than the sum of its proper divisors (213624096).

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

104742624 is a wasteful number, since it uses less digits than its factorization.

104742624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 104742624 is about 10234.3843977056. The cubic root of 104742624 is about 471.3836156003.

The spelling of 104742624 in words is "one hundred four million, seven hundred forty-two thousand, six hundred twenty-four".