104729520 has 320 divisors, whose sum is σ = 415687680. Its totient is φ = 21233664.

The previous prime is 104729507. The next prime is 104729531. The reversal of 104729520 is 25927401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 542544 + ... + 542736.

It is an arithmetic number, because the mean of its divisors is an integer number (1299024).

Almost surely, 2^104729520 is an apocalyptic number.

104729520 is a gapful number since it is divisible by the number (10) 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 104729520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207843840).

104729520 is an abundant number, since it is smaller than the sum of its proper divisors (310958160).

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

104729520 is a wasteful number, since it uses less digits than its factorization.

104729520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 104729520 is about 10233.7441828492. The cubic root of 104729520 is about 471.3639570370.

The spelling of 104729520 in words is "one hundred four million, seven hundred twenty-nine thousand, five hundred twenty".