104014656 has 84 divisors (see below), whose sum is σ = 301637700. Its totient is φ = 34265088.

The previous prime is 104014649. The next prime is 104014697. The reversal of 104014656 is 656410401.

104014656 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 1 + 4 + 656 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70560000 + 33454656 = 8400^2 + 5784^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50250 + ... + 52278.

It is an arithmetic number, because the mean of its divisors is an integer number (3590925).

Almost surely, 2^104014656 is an apocalyptic number.

104014656 is a gapful number since it is divisible by the number (16) 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 104014656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150818850).

104014656 is an abundant number, since it is smaller than the sum of its proper divisors (197623044).

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

104014656 is a wasteful number, since it uses less digits than its factorization.

104014656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 104014656 is about 10198.7575713907. The cubic root of 104014656 is about 470.2890269945.

The spelling of 104014656 in words is "one hundred four million, fourteen thousand, six hundred fifty-six".