104127264 has 144 divisors (see below), whose sum is σ = 311351040. Its totient is φ = 32970240.

The previous prime is 104127229. The next prime is 104127299. The reversal of 104127264 is 462721401.

It is an interprime number because it is at equal distance from previous prime (104127229) and next prime (104127299).

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 955242 + ... + 955350.

It is an arithmetic number, because the mean of its divisors is an integer number (2162160).

Almost surely, 2^104127264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104127264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155675520).

104127264 is an abundant number, since it is smaller than the sum of its proper divisors (207223776).

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

104127264 is a wasteful number, since it uses less digits than its factorization.

104127264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 104127264 is about 10204.2767504611. The cubic root of 104127264 is about 470.4586800321.

Adding to 104127264 its reverse (462721401), we get a palindrome (566848665).

The spelling of 104127264 in words is "one hundred four million, one hundred twenty-seven thousand, two hundred sixty-four".