104527872 has 144 divisors (see below), whose sum is σ = 310466520. Its totient is φ = 33865728.

The previous prime is 104527867. The next prime is 104527909. The reversal of 104527872 is 278725401.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 976843 + ... + 976949.

Almost surely, 2^104527872 is an apocalyptic number.

104527872 is a gapful number since it is divisible by the number (12) 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 104527872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155233260).

104527872 is an abundant number, since it is smaller than the sum of its proper divisors (205938648).

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

104527872 is a wasteful number, since it uses less digits than its factorization.

104527872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 104527872 is about 10223.8873233228. The cubic root of 104527872 is about 471.0612386060.

The spelling of 104527872 in words is "one hundred four million, five hundred twenty-seven thousand, eight hundred seventy-two".