104484600 has 192 divisors, whose sum is σ = 392832000. Its totient is φ = 25315200.

The previous prime is 104484587. The next prime is 104484613. The reversal of 104484600 is 6484401.

104484600 is a `hidden beast` number, since 10 + 4 + 48 + 4 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (104484587) and next prime (104484613).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58521 + ... + 60279.

It is an arithmetic number, because the mean of its divisors is an integer number (2046000).

Almost surely, 2^104484600 is an apocalyptic number.

104484600 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 104484600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196416000).

104484600 is an abundant number, since it is smaller than the sum of its proper divisors (288347400).

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

104484600 is a wasteful number, since it uses less digits than its factorization.

104484600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 104484600 is about 10221.7708837559. The cubic root of 104484600 is about 470.9962269972.

The spelling of 104484600 in words is "one hundred four million, four hundred eighty-four thousand, six hundred".