104145264 has 200 divisors, whose sum is σ = 332188560. Its totient is φ = 31352832.

The previous prime is 104145259. The next prime is 104145317. The reversal of 104145264 is 462541401.

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

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 638847 + ... + 639009.

Almost surely, 2^104145264 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 104145264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166094280).

104145264 is an abundant number, since it is smaller than the sum of its proper divisors (228043296).

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

104145264 is a wasteful number, since it uses less digits than its factorization.

104145264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 104145264 is about 10205.1586954834. The cubic root of 104145264 is about 470.4857871445.

Adding to 104145264 its reverse (462541401), we get a palindrome (566686665).

The spelling of 104145264 in words is "one hundred four million, one hundred forty-five thousand, two hundred sixty-four".