104527200 has 144 divisors (see below), whose sum is σ = 344509200. Its totient is φ = 27525120.

The previous prime is 104527187. The next prime is 104527231. The reversal of 104527200 is 2725401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232576 + ... + 233024.

It is an arithmetic number, because the mean of its divisors is an integer number (2392425).

Almost surely, 2^104527200 is an apocalyptic number.

104527200 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 104527200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172254600).

104527200 is an abundant number, since it is smaller than the sum of its proper divisors (239982000).

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

104527200 is a wasteful number, since it uses less digits than its factorization.

104527200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 104527200 is about 10223.8544590580. The cubic root of 104527200 is about 471.0602291342.

The spelling of 104527200 in words is "one hundred four million, five hundred twenty-seven thousand, two hundred".