104829120 has 224 divisors, whose sum is σ = 403799040. Its totient is φ = 25390080.

The previous prime is 104829119. The next prime is 104829121. The reversal of 104829120 is 21928401.

It is an interprime number because it is at equal distance from previous prime (104829119) and next prime (104829121).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (104829121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94489 + ... + 95591.

Almost surely, 2^104829120 is an apocalyptic number.

104829120 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 104829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201899520).

104829120 is an abundant number, since it is smaller than the sum of its proper divisors (298969920).

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

104829120 is a wasteful number, since it uses less digits than its factorization.

104829120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 104829120 is about 10238.6092805615. The cubic root of 104829120 is about 471.5133354077.

The spelling of 104829120 in words is "one hundred four million, eight hundred twenty-nine thousand, one hundred twenty".